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Finding the Third Proportional to 89,693.50 and 190,320

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Solution

The third proportional to 89,693.50 and 190,320 is: 403,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693.50 : 190,320 = 190,320 : x
  2. Step 2: Convert to fraction form
    89,693.50/190,320 = 190,320/x
  3. Step 3: Cross multiply
    89,693.50x = 190,320 × 190,320
  4. Step 4: Simplify right side
    89,693.50x = 36,221,702,400
  5. Step 5: Solve for x
    x = 36,221,702,400/89,693.50
  6. Step 6: Final answer
    x = 403,838.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.