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Finding the Third Proportional to 75,108,792 and 160,138,431

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Solution

The third proportional to 75,108,792 and 160,138,431 is: 341,428,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108,792 : 160,138,431 = 160,138,431 : x
  2. Step 2: Convert to fraction form
    75,108,792/160,138,431 = 160,138,431/x
  3. Step 3: Cross multiply
    75,108,792x = 160,138,431 × 160,138,431
  4. Step 4: Simplify right side
    75,108,792x = 25,644,317,083,141,760
  5. Step 5: Solve for x
    x = 25,644,317,083,141,760/75,108,792
  6. Step 6: Final answer
    x = 341,428,964.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.