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Finding the Third Proportional to 106,119,069 and 168,744,687

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Solution

The third proportional to 106,119,069 and 168,744,687 is: 268,328,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,119,069 : 168,744,687 = 168,744,687 : x
  2. Step 2: Convert to fraction form
    106,119,069/168,744,687 = 168,744,687/x
  3. Step 3: Cross multiply
    106,119,069x = 168,744,687 × 168,744,687
  4. Step 4: Simplify right side
    106,119,069x = 28,474,769,390,727,968
  5. Step 5: Solve for x
    x = 28,474,769,390,727,968/106,119,069
  6. Step 6: Final answer
    x = 268,328,488.55

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Why These Related Problems?

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