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Finding the Third Proportional to 171,781,340 and 370,795,320

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Solution

The third proportional to 171,781,340 and 370,795,320 is: 800,373,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,781,340 : 370,795,320 = 370,795,320 : x
  2. Step 2: Convert to fraction form
    171,781,340/370,795,320 = 370,795,320/x
  3. Step 3: Cross multiply
    171,781,340x = 370,795,320 × 370,795,320
  4. Step 4: Simplify right side
    171,781,340x = 137,489,169,333,902,400
  5. Step 5: Solve for x
    x = 137,489,169,333,902,400/171,781,340
  6. Step 6: Final answer
    x = 800,373,133.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.