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Finding the Third Proportional to 100,282.50 and 208,972.13

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Solution

The third proportional to 100,282.50 and 208,972.13 is: 435,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282.50 : 208,972.13 = 208,972.13 : x
  2. Step 2: Convert to fraction form
    100,282.50/208,972.13 = 208,972.13/x
  3. Step 3: Cross multiply
    100,282.50x = 208,972.13 × 208,972.13
  4. Step 4: Simplify right side
    100,282.50x = 43,669,349,027.02
  5. Step 5: Solve for x
    x = 43,669,349,027.02/100,282.50
  6. Step 6: Final answer
    x = 435,463.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.