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Finding the Third Proportional to 103,633,950 and 221,616,806

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Solution

The third proportional to 103,633,950 and 221,616,806 is: 473,918,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,950 : 221,616,806 = 221,616,806 : x
  2. Step 2: Convert to fraction form
    103,633,950/221,616,806 = 221,616,806/x
  3. Step 3: Cross multiply
    103,633,950x = 221,616,806 × 221,616,806
  4. Step 4: Simplify right side
    103,633,950x = 49,114,008,701,641,632
  5. Step 5: Solve for x
    x = 49,114,008,701,641,632/103,633,950
  6. Step 6: Final answer
    x = 473,918,138.81

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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.