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Finding the Third Proportional to 106,357,901 and 231,350,677

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Solution

The third proportional to 106,357,901 and 231,350,677 is: 503,236,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,901 : 231,350,677 = 231,350,677 : x
  2. Step 2: Convert to fraction form
    106,357,901/231,350,677 = 231,350,677/x
  3. Step 3: Cross multiply
    106,357,901x = 231,350,677 × 231,350,677
  4. Step 4: Simplify right side
    106,357,901x = 53,523,135,748,358,328
  5. Step 5: Solve for x
    x = 53,523,135,748,358,328/106,357,901
  6. Step 6: Final answer
    x = 503,236,104.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.