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Finding the Third Proportional to 100,251,114 and 159,519,231

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Solution

The third proportional to 100,251,114 and 159,519,231 is: 253,826,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,114 : 159,519,231 = 159,519,231 : x
  2. Step 2: Convert to fraction form
    100,251,114/159,519,231 = 159,519,231/x
  3. Step 3: Cross multiply
    100,251,114x = 159,519,231 × 159,519,231
  4. Step 4: Simplify right side
    100,251,114x = 25,446,385,058,831,360
  5. Step 5: Solve for x
    x = 25,446,385,058,831,360/100,251,114
  6. Step 6: Final answer
    x = 253,826,456.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.