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Finding the Third Proportional to 251,923,604,416.50 and 555,197,263,894.50

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Solution

The third proportional to 251,923,604,416.50 and 555,197,263,894.50 is: 1,223,561,414,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,604,416.50 : 555,197,263,894.50 = 555,197,263,894.50 : x
  2. Step 2: Convert to fraction form
    251,923,604,416.50/555,197,263,894.50 = 555,197,263,894.50/x
  3. Step 3: Cross multiply
    251,923,604,416.50x = 555,197,263,894.50 × 555,197,263,894.50
  4. Step 4: Simplify right side
    251,923,604,416.50x = 308,244,001,835,939,071,524,864
  5. Step 5: Solve for x
    x = 308,244,001,835,939,071,524,864/251,923,604,416.50
  6. Step 6: Final answer
    x = 1,223,561,414,778.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.