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Finding the Third Proportional to 166,396,068 and 371,029,680

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Solution

The third proportional to 166,396,068 and 371,029,680 is: 827,321,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,396,068 : 371,029,680 = 371,029,680 : x
  2. Step 2: Convert to fraction form
    166,396,068/371,029,680 = 371,029,680/x
  3. Step 3: Cross multiply
    166,396,068x = 371,029,680 × 371,029,680
  4. Step 4: Simplify right side
    166,396,068x = 137,663,023,440,902,400
  5. Step 5: Solve for x
    x = 137,663,023,440,902,400/166,396,068
  6. Step 6: Final answer
    x = 827,321,373.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.