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Finding the Third Proportional to 101,964 and 219,552

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Solution

The third proportional to 101,964 and 219,552 is: 472,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964 : 219,552 = 219,552 : x
  2. Step 2: Convert to fraction form
    101,964/219,552 = 219,552/x
  3. Step 3: Cross multiply
    101,964x = 219,552 × 219,552
  4. Step 4: Simplify right side
    101,964x = 48,203,080,704
  5. Step 5: Solve for x
    x = 48,203,080,704/101,964
  6. Step 6: Final answer
    x = 472,746.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.