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Finding the Third Proportional to 98,621.30 and 215,695.41

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Solution

The third proportional to 98,621.30 and 215,695.41 is: 471,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,621.30 : 215,695.41 = 215,695.41 : x
  2. Step 2: Convert to fraction form
    98,621.30/215,695.41 = 215,695.41/x
  3. Step 3: Cross multiply
    98,621.30x = 215,695.41 × 215,695.41
  4. Step 4: Simplify right side
    98,621.30x = 46,524,508,277.35
  5. Step 5: Solve for x
    x = 46,524,508,277.35/98,621.30
  6. Step 6: Final answer
    x = 471,749.10

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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.