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Finding the Third Proportional to 102,008.50 and 220,957

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Solution

The third proportional to 102,008.50 and 220,957 is: 478,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008.50 : 220,957 = 220,957 : x
  2. Step 2: Convert to fraction form
    102,008.50/220,957 = 220,957/x
  3. Step 3: Cross multiply
    102,008.50x = 220,957 × 220,957
  4. Step 4: Simplify right side
    102,008.50x = 48,821,995,849
  5. Step 5: Solve for x
    x = 48,821,995,849/102,008.50
  6. Step 6: Final answer
    x = 478,607.13

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Why These Related Problems?

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