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Finding the Third Proportional to 40,362.19 and 88,102.13

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Solution

The third proportional to 40,362.19 and 88,102.13 is: 192,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,362.19 : 88,102.13 = 88,102.13 : x
  2. Step 2: Convert to fraction form
    40,362.19/88,102.13 = 88,102.13/x
  3. Step 3: Cross multiply
    40,362.19x = 88,102.13 × 88,102.13
  4. Step 4: Simplify right side
    40,362.19x = 7,761,984,429.52
  5. Step 5: Solve for x
    x = 7,761,984,429.52/40,362.19
  6. Step 6: Final answer
    x = 192,308.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.