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Finding the Third Proportional to 40,585.50 and 89,930.81

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Solution

The third proportional to 40,585.50 and 89,930.81 is: 199,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,585.50 : 89,930.81 = 89,930.81 : x
  2. Step 2: Convert to fraction form
    40,585.50/89,930.81 = 89,930.81/x
  3. Step 3: Cross multiply
    40,585.50x = 89,930.81 × 89,930.81
  4. Step 4: Simplify right side
    40,585.50x = 8,087,551,036.91
  5. Step 5: Solve for x
    x = 8,087,551,036.91/40,585.50
  6. Step 6: Final answer
    x = 199,271.93

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