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Finding the Third Proportional to 103,633,914 and 221,616,733

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Solution

The third proportional to 103,633,914 and 221,616,733 is: 473,917,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,914 : 221,616,733 = 221,616,733 : x
  2. Step 2: Convert to fraction form
    103,633,914/221,616,733 = 221,616,733/x
  3. Step 3: Cross multiply
    103,633,914x = 221,616,733 × 221,616,733
  4. Step 4: Simplify right side
    103,633,914x = 49,113,976,345,593,288
  5. Step 5: Solve for x
    x = 49,113,976,345,593,288/103,633,914
  6. Step 6: Final answer
    x = 473,917,991.22

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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.