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Finding the Third Proportional to 102,088,272 and 156,916,890

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Solution

The third proportional to 102,088,272 and 156,916,890 is: 241,192,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,272 : 156,916,890 = 156,916,890 : x
  2. Step 2: Convert to fraction form
    102,088,272/156,916,890 = 156,916,890/x
  3. Step 3: Cross multiply
    102,088,272x = 156,916,890 × 156,916,890
  4. Step 4: Simplify right side
    102,088,272x = 24,622,910,367,272,100
  5. Step 5: Solve for x
    x = 24,622,910,367,272,100/102,088,272
  6. Step 6: Final answer
    x = 241,192,351.33

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Why These Related Problems?

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