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Finding the Third Proportional to 103,633,938 and 221,616,782

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Solution

The third proportional to 103,633,938 and 221,616,782 is: 473,918,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,938 : 221,616,782 = 221,616,782 : x
  2. Step 2: Convert to fraction form
    103,633,938/221,616,782 = 221,616,782/x
  3. Step 3: Cross multiply
    103,633,938x = 221,616,782 × 221,616,782
  4. Step 4: Simplify right side
    103,633,938x = 49,113,998,064,035,520
  5. Step 5: Solve for x
    x = 49,113,998,064,035,520/103,633,938
  6. Step 6: Final answer
    x = 473,918,091.04

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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.