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Finding the Third Proportional to 123,386,409 and 270,982,938.38

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Solution

The third proportional to 123,386,409 and 270,982,938.38 is: 595,136,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,386,409 : 270,982,938.38 = 270,982,938.38 : x
  2. Step 2: Convert to fraction form
    123,386,409/270,982,938.38 = 270,982,938.38/x
  3. Step 3: Cross multiply
    123,386,409x = 270,982,938.38 × 270,982,938.38
  4. Step 4: Simplify right side
    123,386,409x = 73,431,752,890,349,040
  5. Step 5: Solve for x
    x = 73,431,752,890,349,040/123,386,409
  6. Step 6: Final answer
    x = 595,136,478.04

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