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Finding the Third Proportional to 103,843,357 and 221,585,612

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Solution

The third proportional to 103,843,357 and 221,585,612 is: 472,829,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,843,357 : 221,585,612 = 221,585,612 : x
  2. Step 2: Convert to fraction form
    103,843,357/221,585,612 = 221,585,612/x
  3. Step 3: Cross multiply
    103,843,357x = 221,585,612 × 221,585,612
  4. Step 4: Simplify right side
    103,843,357x = 49,100,183,445,414,544
  5. Step 5: Solve for x
    x = 49,100,183,445,414,544/103,843,357
  6. Step 6: Final answer
    x = 472,829,315.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.