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Finding the Third Proportional to 71,383,624.50 and 96,313,270.50

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Solution

The third proportional to 71,383,624.50 and 96,313,270.50 is: 129,949,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383,624.50 : 96,313,270.50 = 96,313,270.50 : x
  2. Step 2: Convert to fraction form
    71,383,624.50/96,313,270.50 = 96,313,270.50/x
  3. Step 3: Cross multiply
    71,383,624.50x = 96,313,270.50 × 96,313,270.50
  4. Step 4: Simplify right side
    71,383,624.50x = 9,276,246,074,406,170
  5. Step 5: Solve for x
    x = 9,276,246,074,406,170/71,383,624.50
  6. Step 6: Final answer
    x = 129,949,216.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.