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Finding the Third Proportional to 107,508,825 and 166,015,959

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Solution

The third proportional to 107,508,825 and 166,015,959 is: 256,363,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,508,825 : 166,015,959 = 166,015,959 : x
  2. Step 2: Convert to fraction form
    107,508,825/166,015,959 = 166,015,959/x
  3. Step 3: Cross multiply
    107,508,825x = 166,015,959 × 166,015,959
  4. Step 4: Simplify right side
    107,508,825x = 27,561,298,642,689,680
  5. Step 5: Solve for x
    x = 27,561,298,642,689,680/107,508,825
  6. Step 6: Final answer
    x = 256,363,127.80

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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.