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Finding the Third Proportional to 106,637.06 and 246,869.16

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Solution

The third proportional to 106,637.06 and 246,869.16 is: 571,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,637.06 : 246,869.16 = 246,869.16 : x
  2. Step 2: Convert to fraction form
    106,637.06/246,869.16 = 246,869.16/x
  3. Step 3: Cross multiply
    106,637.06x = 246,869.16 × 246,869.16
  4. Step 4: Simplify right side
    106,637.06x = 60,944,380,307.59
  5. Step 5: Solve for x
    x = 60,944,380,307.59/106,637.06
  6. Step 6: Final answer
    x = 571,512.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.