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Finding the Third Proportional to 185,071,224 and 402,001,800

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Solution

The third proportional to 185,071,224 and 402,001,800 is: 873,206,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,071,224 : 402,001,800 = 402,001,800 : x
  2. Step 2: Convert to fraction form
    185,071,224/402,001,800 = 402,001,800/x
  3. Step 3: Cross multiply
    185,071,224x = 402,001,800 × 402,001,800
  4. Step 4: Simplify right side
    185,071,224x = 161,605,447,203,240,000
  5. Step 5: Solve for x
    x = 161,605,447,203,240,000/185,071,224
  6. Step 6: Final answer
    x = 873,206,777.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.