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Finding the Third Proportional to 88,800 and 190,195.50

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Solution

The third proportional to 88,800 and 190,195.50 is: 407,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,800 : 190,195.50 = 190,195.50 : x
  2. Step 2: Convert to fraction form
    88,800/190,195.50 = 190,195.50/x
  3. Step 3: Cross multiply
    88,800x = 190,195.50 × 190,195.50
  4. Step 4: Simplify right side
    88,800x = 36,174,328,220.25
  5. Step 5: Solve for x
    x = 36,174,328,220.25/88,800
  6. Step 6: Final answer
    x = 407,368.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.