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Finding the Third Proportional to 97,416 and 213,084

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Solution

The third proportional to 97,416 and 213,084 is: 466,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,416 : 213,084 = 213,084 : x
  2. Step 2: Convert to fraction form
    97,416/213,084 = 213,084/x
  3. Step 3: Cross multiply
    97,416x = 213,084 × 213,084
  4. Step 4: Simplify right side
    97,416x = 45,404,791,056
  5. Step 5: Solve for x
    x = 45,404,791,056/97,416
  6. Step 6: Final answer
    x = 466,091.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.