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Finding the Third Proportional to 109,998,496.76 and 165,010,867.14

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Solution

The third proportional to 109,998,496.76 and 165,010,867.14 is: 247,535,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,998,496.76 : 165,010,867.14 = 165,010,867.14 : x
  2. Step 2: Convert to fraction form
    109,998,496.76/165,010,867.14 = 165,010,867.14/x
  3. Step 3: Cross multiply
    109,998,496.76x = 165,010,867.14 × 165,010,867.14
  4. Step 4: Simplify right side
    109,998,496.76x = 27,228,586,273,208,956
  5. Step 5: Solve for x
    x = 27,228,586,273,208,956/109,998,496.76
  6. Step 6: Final answer
    x = 247,535,985.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.