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Finding the Third Proportional to 102,088,125 and 156,916,791

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Solution

The third proportional to 102,088,125 and 156,916,791 is: 241,192,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,125 : 156,916,791 = 156,916,791 : x
  2. Step 2: Convert to fraction form
    102,088,125/156,916,791 = 156,916,791/x
  3. Step 3: Cross multiply
    102,088,125x = 156,916,791 × 156,916,791
  4. Step 4: Simplify right side
    102,088,125x = 24,622,879,297,737,680
  5. Step 5: Solve for x
    x = 24,622,879,297,737,680/102,088,125
  6. Step 6: Final answer
    x = 241,192,394.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.