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Finding the Third Proportional to 71,088,847,160 and 148,061,676,016

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Solution

The third proportional to 71,088,847,160 and 148,061,676,016 is: 308,378,329,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088,847,160 : 148,061,676,016 = 148,061,676,016 : x
  2. Step 2: Convert to fraction form
    71,088,847,160/148,061,676,016 = 148,061,676,016/x
  3. Step 3: Cross multiply
    71,088,847,160x = 148,061,676,016 × 148,061,676,016
  4. Step 4: Simplify right side
    71,088,847,160x = 21,922,259,904,666,949,124,096
  5. Step 5: Solve for x
    x = 21,922,259,904,666,949,124,096/71,088,847,160
  6. Step 6: Final answer
    x = 308,378,329,097.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.