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Finding the Third Proportional to 96,129.04 and 207,048.81

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Solution

The third proportional to 96,129.04 and 207,048.81 is: 445,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,129.04 : 207,048.81 = 207,048.81 : x
  2. Step 2: Convert to fraction form
    96,129.04/207,048.81 = 207,048.81/x
  3. Step 3: Cross multiply
    96,129.04x = 207,048.81 × 207,048.81
  4. Step 4: Simplify right side
    96,129.04x = 42,869,211,566.44
  5. Step 5: Solve for x
    x = 42,869,211,566.44/96,129.04
  6. Step 6: Final answer
    x = 445,954.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.