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Finding the Third Proportional to 101,598.47 and 223,307.72

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Solution

The third proportional to 101,598.47 and 223,307.72 is: 490,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598.47 : 223,307.72 = 223,307.72 : x
  2. Step 2: Convert to fraction form
    101,598.47/223,307.72 = 223,307.72/x
  3. Step 3: Cross multiply
    101,598.47x = 223,307.72 × 223,307.72
  4. Step 4: Simplify right side
    101,598.47x = 49,866,337,253.33
  5. Step 5: Solve for x
    x = 49,866,337,253.33/101,598.47
  6. Step 6: Final answer
    x = 490,817.80

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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.