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Finding the Third Proportional to 100,807.50 and 220,062

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Solution

The third proportional to 100,807.50 and 220,062 is: 480,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,807.50 : 220,062 = 220,062 : x
  2. Step 2: Convert to fraction form
    100,807.50/220,062 = 220,062/x
  3. Step 3: Cross multiply
    100,807.50x = 220,062 × 220,062
  4. Step 4: Simplify right side
    100,807.50x = 48,427,283,844
  5. Step 5: Solve for x
    x = 48,427,283,844/100,807.50
  6. Step 6: Final answer
    x = 480,393.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.