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Finding the Third Proportional to 69,045.75 and 151,270.88

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Solution

The third proportional to 69,045.75 and 151,270.88 is: 331,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,045.75 : 151,270.88 = 151,270.88 : x
  2. Step 2: Convert to fraction form
    69,045.75/151,270.88 = 151,270.88/x
  3. Step 3: Cross multiply
    69,045.75x = 151,270.88 × 151,270.88
  4. Step 4: Simplify right side
    69,045.75x = 22,882,877,623.27
  5. Step 5: Solve for x
    x = 22,882,877,623.27/69,045.75
  6. Step 6: Final answer
    x = 331,416.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.