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Finding the Third Proportional to 110,637.14 and 229,149

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Solution

The third proportional to 110,637.14 and 229,149 is: 474,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,637.14 : 229,149 = 229,149 : x
  2. Step 2: Convert to fraction form
    110,637.14/229,149 = 229,149/x
  3. Step 3: Cross multiply
    110,637.14x = 229,149 × 229,149
  4. Step 4: Simplify right side
    110,637.14x = 52,509,264,201
  5. Step 5: Solve for x
    x = 52,509,264,201/110,637.14
  6. Step 6: Final answer
    x = 474,607.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.