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Finding the Third Proportional to 125,976,495.38 and 195,597,376.88

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Solution

The third proportional to 125,976,495.38 and 195,597,376.88 is: 303,694,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,976,495.38 : 195,597,376.88 = 195,597,376.88 : x
  2. Step 2: Convert to fraction form
    125,976,495.38/195,597,376.88 = 195,597,376.88/x
  3. Step 3: Cross multiply
    125,976,495.38x = 195,597,376.88 × 195,597,376.88
  4. Step 4: Simplify right side
    125,976,495.38x = 38,258,333,840,380,784
  5. Step 5: Solve for x
    x = 38,258,333,840,380,784/125,976,495.38
  6. Step 6: Final answer
    x = 303,694,222.69

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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.