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Finding the Third Proportional to 88,778.50 and 190,733

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Solution

The third proportional to 88,778.50 and 190,733 is: 409,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,778.50 : 190,733 = 190,733 : x
  2. Step 2: Convert to fraction form
    88,778.50/190,733 = 190,733/x
  3. Step 3: Cross multiply
    88,778.50x = 190,733 × 190,733
  4. Step 4: Simplify right side
    88,778.50x = 36,379,077,289
  5. Step 5: Solve for x
    x = 36,379,077,289/88,778.50
  6. Step 6: Final answer
    x = 409,773.51

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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.