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Finding the Third Proportional to 207,901.69 and 221,023.69

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Solution

The third proportional to 207,901.69 and 221,023.69 is: 234,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.69 : 221,023.69 = 221,023.69 : x
  2. Step 2: Convert to fraction form
    207,901.69/221,023.69 = 221,023.69/x
  3. Step 3: Cross multiply
    207,901.69x = 221,023.69 × 221,023.69
  4. Step 4: Simplify right side
    207,901.69x = 48,851,470,436.10
  5. Step 5: Solve for x
    x = 48,851,470,436.10/207,901.69
  6. Step 6: Final answer
    x = 234,973.90

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.