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Finding the Third Proportional to 43,434 and 94,864.50

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Solution

The third proportional to 43,434 and 94,864.50 is: 207,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434 : 94,864.50 = 94,864.50 : x
  2. Step 2: Convert to fraction form
    43,434/94,864.50 = 94,864.50/x
  3. Step 3: Cross multiply
    43,434x = 94,864.50 × 94,864.50
  4. Step 4: Simplify right side
    43,434x = 8,999,273,360.25
  5. Step 5: Solve for x
    x = 8,999,273,360.25/43,434
  6. Step 6: Final answer
    x = 207,194.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.