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Finding the Third Proportional to 107,703,148 and 231,829,208

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Solution

The third proportional to 107,703,148 and 231,829,208 is: 499,008,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,703,148 : 231,829,208 = 231,829,208 : x
  2. Step 2: Convert to fraction form
    107,703,148/231,829,208 = 231,829,208/x
  3. Step 3: Cross multiply
    107,703,148x = 231,829,208 × 231,829,208
  4. Step 4: Simplify right side
    107,703,148x = 53,744,781,681,907,264
  5. Step 5: Solve for x
    x = 53,744,781,681,907,264/107,703,148
  6. Step 6: Final answer
    x = 499,008,456.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.