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Finding the Third Proportional to 100,873,526 and 159,755,169

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Solution

The third proportional to 100,873,526 and 159,755,169 is: 253,007,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,873,526 : 159,755,169 = 159,755,169 : x
  2. Step 2: Convert to fraction form
    100,873,526/159,755,169 = 159,755,169/x
  3. Step 3: Cross multiply
    100,873,526x = 159,755,169 × 159,755,169
  4. Step 4: Simplify right side
    100,873,526x = 25,521,714,022,218,560
  5. Step 5: Solve for x
    x = 25,521,714,022,218,560/100,873,526
  6. Step 6: Final answer
    x = 253,007,057.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.