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Finding the Third Proportional to 129,205,026 and 198,597,392

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Solution

The third proportional to 129,205,026 and 198,597,392 is: 305,258,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,026 : 198,597,392 = 198,597,392 : x
  2. Step 2: Convert to fraction form
    129,205,026/198,597,392 = 198,597,392/x
  3. Step 3: Cross multiply
    129,205,026x = 198,597,392 × 198,597,392
  4. Step 4: Simplify right side
    129,205,026x = 39,440,924,109,201,664
  5. Step 5: Solve for x
    x = 39,440,924,109,201,664/129,205,026
  6. Step 6: Final answer
    x = 305,258,435.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.