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Finding the Third Proportional to 105,990 and 227,335.50

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Solution

The third proportional to 105,990 and 227,335.50 is: 487,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990 : 227,335.50 = 227,335.50 : x
  2. Step 2: Convert to fraction form
    105,990/227,335.50 = 227,335.50/x
  3. Step 3: Cross multiply
    105,990x = 227,335.50 × 227,335.50
  4. Step 4: Simplify right side
    105,990x = 51,681,429,560.25
  5. Step 5: Solve for x
    x = 51,681,429,560.25/105,990
  6. Step 6: Final answer
    x = 487,606.66

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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.