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Finding the Third Proportional to 97,281 and 209,560.50

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Solution

The third proportional to 97,281 and 209,560.50 is: 451,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,281 : 209,560.50 = 209,560.50 : x
  2. Step 2: Convert to fraction form
    97,281/209,560.50 = 209,560.50/x
  3. Step 3: Cross multiply
    97,281x = 209,560.50 × 209,560.50
  4. Step 4: Simplify right side
    97,281x = 43,915,603,160.25
  5. Step 5: Solve for x
    x = 43,915,603,160.25/97,281
  6. Step 6: Final answer
    x = 451,430.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.