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Finding the Third Proportional to 102,418,340 and 149,739,193

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Solution

The third proportional to 102,418,340 and 149,739,193 is: 218,923,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418,340 : 149,739,193 = 149,739,193 : x
  2. Step 2: Convert to fraction form
    102,418,340/149,739,193 = 149,739,193/x
  3. Step 3: Cross multiply
    102,418,340x = 149,739,193 × 149,739,193
  4. Step 4: Simplify right side
    102,418,340x = 22,421,825,920,291,248
  5. Step 5: Solve for x
    x = 22,421,825,920,291,248/102,418,340
  6. Step 6: Final answer
    x = 218,923,934.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.