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Finding the Third Proportional to 83,033.63 and 128,233.13

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Solution

The third proportional to 83,033.63 and 128,233.13 is: 198,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,033.63 : 128,233.13 = 128,233.13 : x
  2. Step 2: Convert to fraction form
    83,033.63/128,233.13 = 128,233.13/x
  3. Step 3: Cross multiply
    83,033.63x = 128,233.13 × 128,233.13
  4. Step 4: Simplify right side
    83,033.63x = 16,443,734,347.27
  5. Step 5: Solve for x
    x = 16,443,734,347.27/83,033.63
  6. Step 6: Final answer
    x = 198,037.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.