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Finding the Third Proportional to 103,866.75 and 229,530.94

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Solution

The third proportional to 103,866.75 and 229,530.94 is: 507,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.75 : 229,530.94 = 229,530.94 : x
  2. Step 2: Convert to fraction form
    103,866.75/229,530.94 = 229,530.94/x
  3. Step 3: Cross multiply
    103,866.75x = 229,530.94 × 229,530.94
  4. Step 4: Simplify right side
    103,866.75x = 52,684,451,269.63
  5. Step 5: Solve for x
    x = 52,684,451,269.63/103,866.75
  6. Step 6: Final answer
    x = 507,231.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.