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Finding the Third Proportional to 98,224 and 213,948

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Solution

The third proportional to 98,224 and 213,948 is: 466,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,224 : 213,948 = 213,948 : x
  2. Step 2: Convert to fraction form
    98,224/213,948 = 213,948/x
  3. Step 3: Cross multiply
    98,224x = 213,948 × 213,948
  4. Step 4: Simplify right side
    98,224x = 45,773,746,704
  5. Step 5: Solve for x
    x = 45,773,746,704/98,224
  6. Step 6: Final answer
    x = 466,013.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.