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Finding the Third Proportional to 107,228.81 and 229,209.75

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Solution

The third proportional to 107,228.81 and 229,209.75 is: 489,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,228.81 : 229,209.75 = 229,209.75 : x
  2. Step 2: Convert to fraction form
    107,228.81/229,209.75 = 229,209.75/x
  3. Step 3: Cross multiply
    107,228.81x = 229,209.75 × 229,209.75
  4. Step 4: Simplify right side
    107,228.81x = 52,537,109,495.06
  5. Step 5: Solve for x
    x = 52,537,109,495.06/107,228.81
  6. Step 6: Final answer
    x = 489,953.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.