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Finding the Third Proportional to 98,451.50 and 215,973.50

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Solution

The third proportional to 98,451.50 and 215,973.50 is: 473,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,451.50 : 215,973.50 = 215,973.50 : x
  2. Step 2: Convert to fraction form
    98,451.50/215,973.50 = 215,973.50/x
  3. Step 3: Cross multiply
    98,451.50x = 215,973.50 × 215,973.50
  4. Step 4: Simplify right side
    98,451.50x = 46,644,552,702.25
  5. Step 5: Solve for x
    x = 46,644,552,702.25/98,451.50
  6. Step 6: Final answer
    x = 473,782.04

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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.