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Finding the Third Proportional to 81,759,632 and 178,034,464

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Solution

The third proportional to 81,759,632 and 178,034,464 is: 387,676,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,759,632 : 178,034,464 = 178,034,464 : x
  2. Step 2: Convert to fraction form
    81,759,632/178,034,464 = 178,034,464/x
  3. Step 3: Cross multiply
    81,759,632x = 178,034,464 × 178,034,464
  4. Step 4: Simplify right side
    81,759,632x = 31,696,270,371,767,296
  5. Step 5: Solve for x
    x = 31,696,270,371,767,296/81,759,632
  6. Step 6: Final answer
    x = 387,676,284.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.