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Finding the Third Proportional to 103,633,922 and 221,616,749

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Solution

The third proportional to 103,633,922 and 221,616,749 is: 473,918,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,922 : 221,616,749 = 221,616,749 : x
  2. Step 2: Convert to fraction form
    103,633,922/221,616,749 = 221,616,749/x
  3. Step 3: Cross multiply
    103,633,922x = 221,616,749 × 221,616,749
  4. Step 4: Simplify right side
    103,633,922x = 49,113,983,437,329,000
  5. Step 5: Solve for x
    x = 49,113,983,437,329,000/103,633,922
  6. Step 6: Final answer
    x = 473,918,023.07

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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.