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Finding the Third Proportional to 103,633,972 and 221,616,851

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Solution

The third proportional to 103,633,972 and 221,616,851 is: 473,918,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,972 : 221,616,851 = 221,616,851 : x
  2. Step 2: Convert to fraction form
    103,633,972/221,616,851 = 221,616,851/x
  3. Step 3: Cross multiply
    103,633,972x = 221,616,851 × 221,616,851
  4. Step 4: Simplify right side
    103,633,972x = 49,114,028,647,156,200
  5. Step 5: Solve for x
    x = 49,114,028,647,156,200/103,633,972
  6. Step 6: Final answer
    x = 473,918,230.67

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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.