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Finding the Third Proportional to 32,186.86 and 69,915.10

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Solution

The third proportional to 32,186.86 and 69,915.10 is: 151,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.86 : 69,915.10 = 69,915.10 : x
  2. Step 2: Convert to fraction form
    32,186.86/69,915.10 = 69,915.10/x
  3. Step 3: Cross multiply
    32,186.86x = 69,915.10 × 69,915.10
  4. Step 4: Simplify right side
    32,186.86x = 4,888,121,563.05
  5. Step 5: Solve for x
    x = 4,888,121,563.05/32,186.86
  6. Step 6: Final answer
    x = 151,866.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.