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Finding the Third Proportional to 90,148.25 and 192,803.50

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Solution

The third proportional to 90,148.25 and 192,803.50 is: 412,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,148.25 : 192,803.50 = 192,803.50 : x
  2. Step 2: Convert to fraction form
    90,148.25/192,803.50 = 192,803.50/x
  3. Step 3: Cross multiply
    90,148.25x = 192,803.50 × 192,803.50
  4. Step 4: Simplify right side
    90,148.25x = 37,173,189,612.25
  5. Step 5: Solve for x
    x = 37,173,189,612.25/90,148.25
  6. Step 6: Final answer
    x = 412,356.20

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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.