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Finding the Third Proportional to 238,787,101 and 514,105,849

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Solution

The third proportional to 238,787,101 and 514,105,849 is: 1,106,863,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,787,101 : 514,105,849 = 514,105,849 : x
  2. Step 2: Convert to fraction form
    238,787,101/514,105,849 = 514,105,849/x
  3. Step 3: Cross multiply
    238,787,101x = 514,105,849 × 514,105,849
  4. Step 4: Simplify right side
    238,787,101x = 264,304,823,976,010,816
  5. Step 5: Solve for x
    x = 264,304,823,976,010,816/238,787,101
  6. Step 6: Final answer
    x = 1,106,863,908.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.