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Finding the Third Proportional to 82,464,601.50 and 162,847,665

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Solution

The third proportional to 82,464,601.50 and 162,847,665 is: 321,584,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464,601.50 : 162,847,665 = 162,847,665 : x
  2. Step 2: Convert to fraction form
    82,464,601.50/162,847,665 = 162,847,665/x
  3. Step 3: Cross multiply
    82,464,601.50x = 162,847,665 × 162,847,665
  4. Step 4: Simplify right side
    82,464,601.50x = 26,519,361,995,952,224
  5. Step 5: Solve for x
    x = 26,519,361,995,952,224/82,464,601.50
  6. Step 6: Final answer
    x = 321,584,795.34

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.