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Finding the Third Proportional to 101,425.50 and 216,922

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Solution

The third proportional to 101,425.50 and 216,922 is: 463,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,425.50 : 216,922 = 216,922 : x
  2. Step 2: Convert to fraction form
    101,425.50/216,922 = 216,922/x
  3. Step 3: Cross multiply
    101,425.50x = 216,922 × 216,922
  4. Step 4: Simplify right side
    101,425.50x = 47,055,154,084
  5. Step 5: Solve for x
    x = 47,055,154,084/101,425.50
  6. Step 6: Final answer
    x = 463,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.