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Finding the Third Proportional to 40,618.69 and 97,847.72

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Solution

The third proportional to 40,618.69 and 97,847.72 is: 235,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,618.69 : 97,847.72 = 97,847.72 : x
  2. Step 2: Convert to fraction form
    40,618.69/97,847.72 = 97,847.72/x
  3. Step 3: Cross multiply
    40,618.69x = 97,847.72 × 97,847.72
  4. Step 4: Simplify right side
    40,618.69x = 9,574,176,064.58
  5. Step 5: Solve for x
    x = 9,574,176,064.58/40,618.69
  6. Step 6: Final answer
    x = 235,708.65

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.