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Finding the Third Proportional to 99,913.50 and 214,650

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Solution

The third proportional to 99,913.50 and 214,650 is: 461,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,913.50 : 214,650 = 214,650 : x
  2. Step 2: Convert to fraction form
    99,913.50/214,650 = 214,650/x
  3. Step 3: Cross multiply
    99,913.50x = 214,650 × 214,650
  4. Step 4: Simplify right side
    99,913.50x = 46,074,622,500
  5. Step 5: Solve for x
    x = 46,074,622,500/99,913.50
  6. Step 6: Final answer
    x = 461,145.12

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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.