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Finding the Third Proportional to 106,957.69 and 229,099.22

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Solution

The third proportional to 106,957.69 and 229,099.22 is: 490,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.69 : 229,099.22 = 229,099.22 : x
  2. Step 2: Convert to fraction form
    106,957.69/229,099.22 = 229,099.22/x
  3. Step 3: Cross multiply
    106,957.69x = 229,099.22 × 229,099.22
  4. Step 4: Simplify right side
    106,957.69x = 52,486,452,031.86
  5. Step 5: Solve for x
    x = 52,486,452,031.86/106,957.69
  6. Step 6: Final answer
    x = 490,721.64

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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.