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Finding the Third Proportional to 99,943.50 and 214,708.50

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Solution

The third proportional to 99,943.50 and 214,708.50 is: 461,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,943.50 : 214,708.50 = 214,708.50 : x
  2. Step 2: Convert to fraction form
    99,943.50/214,708.50 = 214,708.50/x
  3. Step 3: Cross multiply
    99,943.50x = 214,708.50 × 214,708.50
  4. Step 4: Simplify right side
    99,943.50x = 46,099,739,972.25
  5. Step 5: Solve for x
    x = 46,099,739,972.25/99,943.50
  6. Step 6: Final answer
    x = 461,258.01

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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.