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Finding the Third Proportional to 136,156.50 and 199,856.25

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Solution

The third proportional to 136,156.50 and 199,856.25 is: 293,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,156.50 : 199,856.25 = 199,856.25 : x
  2. Step 2: Convert to fraction form
    136,156.50/199,856.25 = 199,856.25/x
  3. Step 3: Cross multiply
    136,156.50x = 199,856.25 × 199,856.25
  4. Step 4: Simplify right side
    136,156.50x = 39,942,520,664.06
  5. Step 5: Solve for x
    x = 39,942,520,664.06/136,156.50
  6. Step 6: Final answer
    x = 293,357.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.