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Finding the Third Proportional to 86,182,754 and 137,200,241

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Solution

The third proportional to 86,182,754 and 137,200,241 is: 218,418,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182,754 : 137,200,241 = 137,200,241 : x
  2. Step 2: Convert to fraction form
    86,182,754/137,200,241 = 137,200,241/x
  3. Step 3: Cross multiply
    86,182,754x = 137,200,241 × 137,200,241
  4. Step 4: Simplify right side
    86,182,754x = 18,823,906,130,458,080
  5. Step 5: Solve for x
    x = 18,823,906,130,458,080/86,182,754
  6. Step 6: Final answer
    x = 218,418,479.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.