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Finding the Third Proportional to 96,874.50 and 212,437.50

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Solution

The third proportional to 96,874.50 and 212,437.50 is: 465,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,874.50 : 212,437.50 = 212,437.50 : x
  2. Step 2: Convert to fraction form
    96,874.50/212,437.50 = 212,437.50/x
  3. Step 3: Cross multiply
    96,874.50x = 212,437.50 × 212,437.50
  4. Step 4: Simplify right side
    96,874.50x = 45,129,691,406.25
  5. Step 5: Solve for x
    x = 45,129,691,406.25/96,874.50
  6. Step 6: Final answer
    x = 465,857.28

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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.