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Finding the Third Proportional to 97,862.75 and 187,949.50

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Solution

The third proportional to 97,862.75 and 187,949.50 is: 360,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.75 : 187,949.50 = 187,949.50 : x
  2. Step 2: Convert to fraction form
    97,862.75/187,949.50 = 187,949.50/x
  3. Step 3: Cross multiply
    97,862.75x = 187,949.50 × 187,949.50
  4. Step 4: Simplify right side
    97,862.75x = 35,325,014,550.25
  5. Step 5: Solve for x
    x = 35,325,014,550.25/97,862.75
  6. Step 6: Final answer
    x = 360,964.87

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.