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Finding the Third Proportional to 107,631 and 234,637.88

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Solution

The third proportional to 107,631 and 234,637.88 is: 511,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,631 : 234,637.88 = 234,637.88 : x
  2. Step 2: Convert to fraction form
    107,631/234,637.88 = 234,637.88/x
  3. Step 3: Cross multiply
    107,631x = 234,637.88 × 234,637.88
  4. Step 4: Simplify right side
    107,631x = 55,054,932,384.52
  5. Step 5: Solve for x
    x = 55,054,932,384.52/107,631
  6. Step 6: Final answer
    x = 511,515.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.