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Finding the Third Proportional to 102,122.16 and 224,402.06

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Solution

The third proportional to 102,122.16 and 224,402.06 is: 493,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122.16 : 224,402.06 = 224,402.06 : x
  2. Step 2: Convert to fraction form
    102,122.16/224,402.06 = 224,402.06/x
  3. Step 3: Cross multiply
    102,122.16x = 224,402.06 × 224,402.06
  4. Step 4: Simplify right side
    102,122.16x = 50,356,285,654.25
  5. Step 5: Solve for x
    x = 50,356,285,654.25/102,122.16
  6. Step 6: Final answer
    x = 493,098.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.