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Finding the Third Proportional to 82,017,421.50 and 115,367,797.50

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Solution

The third proportional to 82,017,421.50 and 115,367,797.50 is: 162,279,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017,421.50 : 115,367,797.50 = 115,367,797.50 : x
  2. Step 2: Convert to fraction form
    82,017,421.50/115,367,797.50 = 115,367,797.50/x
  3. Step 3: Cross multiply
    82,017,421.50x = 115,367,797.50 × 115,367,797.50
  4. Step 4: Simplify right side
    82,017,421.50x = 13,309,728,700,001,006
  5. Step 5: Solve for x
    x = 13,309,728,700,001,006/82,017,421.50
  6. Step 6: Final answer
    x = 162,279,287.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.