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Finding the Third Proportional to 107,235.14 and 228,719.95

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Solution

The third proportional to 107,235.14 and 228,719.95 is: 487,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,235.14 : 228,719.95 = 228,719.95 : x
  2. Step 2: Convert to fraction form
    107,235.14/228,719.95 = 228,719.95/x
  3. Step 3: Cross multiply
    107,235.14x = 228,719.95 × 228,719.95
  4. Step 4: Simplify right side
    107,235.14x = 52,312,816,957.50
  5. Step 5: Solve for x
    x = 52,312,816,957.50/107,235.14
  6. Step 6: Final answer
    x = 487,832.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.