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Finding the Third Proportional to 125,976,512 and 195,597,402

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Solution

The third proportional to 125,976,512 and 195,597,402 is: 303,694,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,976,512 : 195,597,402 = 195,597,402 : x
  2. Step 2: Convert to fraction form
    125,976,512/195,597,402 = 195,597,402/x
  3. Step 3: Cross multiply
    125,976,512x = 195,597,402 × 195,597,402
  4. Step 4: Simplify right side
    125,976,512x = 38,258,343,669,149,600
  5. Step 5: Solve for x
    x = 38,258,343,669,149,600/125,976,512
  6. Step 6: Final answer
    x = 303,694,260.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.