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Finding the Third Proportional to 101,918.50 and 239,807.88

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Solution

The third proportional to 101,918.50 and 239,807.88 is: 564,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,918.50 : 239,807.88 = 239,807.88 : x
  2. Step 2: Convert to fraction form
    101,918.50/239,807.88 = 239,807.88/x
  3. Step 3: Cross multiply
    101,918.50x = 239,807.88 × 239,807.88
  4. Step 4: Simplify right side
    101,918.50x = 57,507,816,912.02
  5. Step 5: Solve for x
    x = 57,507,816,912.02/101,918.50
  6. Step 6: Final answer
    x = 564,252.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.