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Finding the Third Proportional to 96,302.04 and 205,959.59

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Solution

The third proportional to 96,302.04 and 205,959.59 is: 440,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,302.04 : 205,959.59 = 205,959.59 : x
  2. Step 2: Convert to fraction form
    96,302.04/205,959.59 = 205,959.59/x
  3. Step 3: Cross multiply
    96,302.04x = 205,959.59 × 205,959.59
  4. Step 4: Simplify right side
    96,302.04x = 42,419,351,039.55
  5. Step 5: Solve for x
    x = 42,419,351,039.55/96,302.04
  6. Step 6: Final answer
    x = 440,482.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.