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Finding the Third Proportional to 235,654,171.50 and 508,795,819.50

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Solution

The third proportional to 235,654,171.50 and 508,795,819.50 is: 1,098,530,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,654,171.50 : 508,795,819.50 = 508,795,819.50 : x
  2. Step 2: Convert to fraction form
    235,654,171.50/508,795,819.50 = 508,795,819.50/x
  3. Step 3: Cross multiply
    235,654,171.50x = 508,795,819.50 × 508,795,819.50
  4. Step 4: Simplify right side
    235,654,171.50x = 258,873,185,940,676,576
  5. Step 5: Solve for x
    x = 258,873,185,940,676,576/235,654,171.50
  6. Step 6: Final answer
    x = 1,098,530,037.86

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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.