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Finding the Third Proportional to 98,394 and 213,096

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Solution

The third proportional to 98,394 and 213,096 is: 461,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,394 : 213,096 = 213,096 : x
  2. Step 2: Convert to fraction form
    98,394/213,096 = 213,096/x
  3. Step 3: Cross multiply
    98,394x = 213,096 × 213,096
  4. Step 4: Simplify right side
    98,394x = 45,409,905,216
  5. Step 5: Solve for x
    x = 45,409,905,216/98,394
  6. Step 6: Final answer
    x = 461,510.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.