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Finding the Third Proportional to 235,654,156 and 508,795,790

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Solution

The third proportional to 235,654,156 and 508,795,790 is: 1,098,529,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,654,156 : 508,795,790 = 508,795,790 : x
  2. Step 2: Convert to fraction form
    235,654,156/508,795,790 = 508,795,790/x
  3. Step 3: Cross multiply
    235,654,156x = 508,795,790 × 508,795,790
  4. Step 4: Simplify right side
    235,654,156x = 258,873,155,921,724,096
  5. Step 5: Solve for x
    x = 258,873,155,921,724,096/235,654,156
  6. Step 6: Final answer
    x = 1,098,529,982.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.