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Finding the Third Proportional to 107,435,707 and 230,187,196

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Solution

The third proportional to 107,435,707 and 230,187,196 is: 493,189,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,707 : 230,187,196 = 230,187,196 : x
  2. Step 2: Convert to fraction form
    107,435,707/230,187,196 = 230,187,196/x
  3. Step 3: Cross multiply
    107,435,707x = 230,187,196 × 230,187,196
  4. Step 4: Simplify right side
    107,435,707x = 52,986,145,202,342,416
  5. Step 5: Solve for x
    x = 52,986,145,202,342,416/107,435,707
  6. Step 6: Final answer
    x = 493,189,337.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.