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Finding the Third Proportional to 101,060 and 219,814

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Solution

The third proportional to 101,060 and 219,814 is: 478,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,060 : 219,814 = 219,814 : x
  2. Step 2: Convert to fraction form
    101,060/219,814 = 219,814/x
  3. Step 3: Cross multiply
    101,060x = 219,814 × 219,814
  4. Step 4: Simplify right side
    101,060x = 48,318,194,596
  5. Step 5: Solve for x
    x = 48,318,194,596/101,060
  6. Step 6: Final answer
    x = 478,113.94

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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.