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Finding the Third Proportional to 98,643.38 and 215,737.88

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Solution

The third proportional to 98,643.38 and 215,737.88 is: 471,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,643.38 : 215,737.88 = 215,737.88 : x
  2. Step 2: Convert to fraction form
    98,643.38/215,737.88 = 215,737.88/x
  3. Step 3: Cross multiply
    98,643.38x = 215,737.88 × 215,737.88
  4. Step 4: Simplify right side
    98,643.38x = 46,542,830,709.52
  5. Step 5: Solve for x
    x = 46,542,830,709.52/98,643.38
  6. Step 6: Final answer
    x = 471,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.