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Finding the Third Proportional to 98,013.38 and 212,479.88

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Solution

The third proportional to 98,013.38 and 212,479.88 is: 460,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013.38 : 212,479.88 = 212,479.88 : x
  2. Step 2: Convert to fraction form
    98,013.38/212,479.88 = 212,479.88/x
  3. Step 3: Cross multiply
    98,013.38x = 212,479.88 × 212,479.88
  4. Step 4: Simplify right side
    98,013.38x = 45,147,697,280.02
  5. Step 5: Solve for x
    x = 45,147,697,280.02/98,013.38
  6. Step 6: Final answer
    x = 460,627.92

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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.