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Finding the Third Proportional to 255,632,914.25 and 552,126,500.50

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Solution

The third proportional to 255,632,914.25 and 552,126,500.50 is: 1,192,505,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,632,914.25 : 552,126,500.50 = 552,126,500.50 : x
  2. Step 2: Convert to fraction form
    255,632,914.25/552,126,500.50 = 552,126,500.50/x
  3. Step 3: Cross multiply
    255,632,914.25x = 552,126,500.50 × 552,126,500.50
  4. Step 4: Simplify right side
    255,632,914.25x = 304,843,672,554,376,512
  5. Step 5: Solve for x
    x = 304,843,672,554,376,512/255,632,914.25
  6. Step 6: Final answer
    x = 1,192,505,563.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.