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Finding the Third Proportional to 107,435,705 and 230,187,192

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Solution

The third proportional to 107,435,705 and 230,187,192 is: 493,189,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,705 : 230,187,192 = 230,187,192 : x
  2. Step 2: Convert to fraction form
    107,435,705/230,187,192 = 230,187,192/x
  3. Step 3: Cross multiply
    107,435,705x = 230,187,192 × 230,187,192
  4. Step 4: Simplify right side
    107,435,705x = 52,986,143,360,844,864
  5. Step 5: Solve for x
    x = 52,986,143,360,844,864/107,435,705
  6. Step 6: Final answer
    x = 493,189,329.94

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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.