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Finding the Third Proportional to 41,980.13 and 88,698.19

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Solution

The third proportional to 41,980.13 and 88,698.19 is: 187,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.13 : 88,698.19 = 88,698.19 : x
  2. Step 2: Convert to fraction form
    41,980.13/88,698.19 = 88,698.19/x
  3. Step 3: Cross multiply
    41,980.13x = 88,698.19 × 88,698.19
  4. Step 4: Simplify right side
    41,980.13x = 7,867,368,465.79
  5. Step 5: Solve for x
    x = 7,867,368,465.79/41,980.13
  6. Step 6: Final answer
    x = 187,406.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.