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Finding the Third Proportional to 88,798.50 and 185,805

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Solution

The third proportional to 88,798.50 and 185,805 is: 388,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,798.50 : 185,805 = 185,805 : x
  2. Step 2: Convert to fraction form
    88,798.50/185,805 = 185,805/x
  3. Step 3: Cross multiply
    88,798.50x = 185,805 × 185,805
  4. Step 4: Simplify right side
    88,798.50x = 34,523,498,025
  5. Step 5: Solve for x
    x = 34,523,498,025/88,798.50
  6. Step 6: Final answer
    x = 388,784.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.