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Finding the Third Proportional to 98,462.25 and 216,070.88

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Solution

The third proportional to 98,462.25 and 216,070.88 is: 474,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,462.25 : 216,070.88 = 216,070.88 : x
  2. Step 2: Convert to fraction form
    98,462.25/216,070.88 = 216,070.88/x
  3. Step 3: Cross multiply
    98,462.25x = 216,070.88 × 216,070.88
  4. Step 4: Simplify right side
    98,462.25x = 46,686,623,023.27
  5. Step 5: Solve for x
    x = 46,686,623,023.27/98,462.25
  6. Step 6: Final answer
    x = 474,157.59

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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.