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Finding the Third Proportional to 100,517,291 and 218,833,683

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Solution

The third proportional to 100,517,291 and 218,833,683 is: 476,417,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,517,291 : 218,833,683 = 218,833,683 : x
  2. Step 2: Convert to fraction form
    100,517,291/218,833,683 = 218,833,683/x
  3. Step 3: Cross multiply
    100,517,291x = 218,833,683 × 218,833,683
  4. Step 4: Simplify right side
    100,517,291x = 47,888,180,815,344,488
  5. Step 5: Solve for x
    x = 47,888,180,815,344,488/100,517,291
  6. Step 6: Final answer
    x = 476,417,344.11

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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.