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Finding the Third Proportional to 103,633,842 and 221,616,589

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Solution

The third proportional to 103,633,842 and 221,616,589 is: 473,917,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,842 : 221,616,589 = 221,616,589 : x
  2. Step 2: Convert to fraction form
    103,633,842/221,616,589 = 221,616,589/x
  3. Step 3: Cross multiply
    103,633,842x = 221,616,589 × 221,616,589
  4. Step 4: Simplify right side
    103,633,842x = 49,113,912,519,994,920
  5. Step 5: Solve for x
    x = 49,113,912,519,994,920/103,633,842
  6. Step 6: Final answer
    x = 473,917,704.60

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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.