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Finding the Third Proportional to 150,982,139,394 and 234,428,554,431

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Solution

The third proportional to 150,982,139,394 and 234,428,554,431 is: 363,995,021,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982,139,394 : 234,428,554,431 = 234,428,554,431 : x
  2. Step 2: Convert to fraction form
    150,982,139,394/234,428,554,431 = 234,428,554,431/x
  3. Step 3: Cross multiply
    150,982,139,394x = 234,428,554,431 × 234,428,554,431
  4. Step 4: Simplify right side
    150,982,139,394x = 54,956,747,132,608,333,217,792
  5. Step 5: Solve for x
    x = 54,956,747,132,608,333,217,792/150,982,139,394
  6. Step 6: Final answer
    x = 363,995,021,882.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.