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Finding the Third Proportional to 40,501.27 and 89,841.66

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Solution

The third proportional to 40,501.27 and 89,841.66 is: 199,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,501.27 : 89,841.66 = 89,841.66 : x
  2. Step 2: Convert to fraction form
    40,501.27/89,841.66 = 89,841.66/x
  3. Step 3: Cross multiply
    40,501.27x = 89,841.66 × 89,841.66
  4. Step 4: Simplify right side
    40,501.27x = 8,071,523,197.74
  5. Step 5: Solve for x
    x = 8,071,523,197.74/40,501.27
  6. Step 6: Final answer
    x = 199,290.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.