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Finding the Third Proportional to 103,633,928 and 221,616,761

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Solution

The third proportional to 103,633,928 and 221,616,761 is: 473,918,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,928 : 221,616,761 = 221,616,761 : x
  2. Step 2: Convert to fraction form
    103,633,928/221,616,761 = 221,616,761/x
  3. Step 3: Cross multiply
    103,633,928x = 221,616,761 × 221,616,761
  4. Step 4: Simplify right side
    103,633,928x = 49,113,988,756,131,120
  5. Step 5: Solve for x
    x = 49,113,988,756,131,120/103,633,928
  6. Step 6: Final answer
    x = 473,918,046.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.