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Finding the Third Proportional to 97,959 and 217,774.50

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Solution

The third proportional to 97,959 and 217,774.50 is: 484,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959 : 217,774.50 = 217,774.50 : x
  2. Step 2: Convert to fraction form
    97,959/217,774.50 = 217,774.50/x
  3. Step 3: Cross multiply
    97,959x = 217,774.50 × 217,774.50
  4. Step 4: Simplify right side
    97,959x = 47,425,732,850.25
  5. Step 5: Solve for x
    x = 47,425,732,850.25/97,959
  6. Step 6: Final answer
    x = 484,138.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.