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Finding the Third Proportional to 102,024.50 and 220,989

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Solution

The third proportional to 102,024.50 and 220,989 is: 478,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024.50 : 220,989 = 220,989 : x
  2. Step 2: Convert to fraction form
    102,024.50/220,989 = 220,989/x
  3. Step 3: Cross multiply
    102,024.50x = 220,989 × 220,989
  4. Step 4: Simplify right side
    102,024.50x = 48,836,138,121
  5. Step 5: Solve for x
    x = 48,836,138,121/102,024.50
  6. Step 6: Final answer
    x = 478,670.69

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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.