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Finding the Third Proportional to 96,751.13 and 205,250.63

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Solution

The third proportional to 96,751.13 and 205,250.63 is: 435,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,751.13 : 205,250.63 = 205,250.63 : x
  2. Step 2: Convert to fraction form
    96,751.13/205,250.63 = 205,250.63/x
  3. Step 3: Cross multiply
    96,751.13x = 205,250.63 × 205,250.63
  4. Step 4: Simplify right side
    96,751.13x = 42,127,819,062.89
  5. Step 5: Solve for x
    x = 42,127,819,062.89/96,751.13
  6. Step 6: Final answer
    x = 435,424.59

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