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Finding the Third Proportional to 82,242,791.25 and 180,626,126.25

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Solution

The third proportional to 82,242,791.25 and 180,626,126.25 is: 396,700,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242,791.25 : 180,626,126.25 = 180,626,126.25 : x
  2. Step 2: Convert to fraction form
    82,242,791.25/180,626,126.25 = 180,626,126.25/x
  3. Step 3: Cross multiply
    82,242,791.25x = 180,626,126.25 × 180,626,126.25
  4. Step 4: Simplify right side
    82,242,791.25x = 32,625,797,484,080,940
  5. Step 5: Solve for x
    x = 32,625,797,484,080,940/82,242,791.25
  6. Step 6: Final answer
    x = 396,700,999.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.