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Finding the Third Proportional to 245,273,487.75 and 538,217,470.13

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Solution

The third proportional to 245,273,487.75 and 538,217,470.13 is: 1,181,040,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,273,487.75 : 538,217,470.13 = 538,217,470.13 : x
  2. Step 2: Convert to fraction form
    245,273,487.75/538,217,470.13 = 538,217,470.13/x
  3. Step 3: Cross multiply
    245,273,487.75x = 538,217,470.13 × 538,217,470.13
  4. Step 4: Simplify right side
    245,273,487.75x = 289,678,045,147,755,264
  5. Step 5: Solve for x
    x = 289,678,045,147,755,264/245,273,487.75
  6. Step 6: Final answer
    x = 1,181,040,999.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.