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Finding the Third Proportional to 106,515 and 229,637.25

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Solution

The third proportional to 106,515 and 229,637.25 is: 495,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,515 : 229,637.25 = 229,637.25 : x
  2. Step 2: Convert to fraction form
    106,515/229,637.25 = 229,637.25/x
  3. Step 3: Cross multiply
    106,515x = 229,637.25 × 229,637.25
  4. Step 4: Simplify right side
    106,515x = 52,733,266,587.56
  5. Step 5: Solve for x
    x = 52,733,266,587.56/106,515
  6. Step 6: Final answer
    x = 495,078.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.