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Finding the Third Proportional to 194,209,691 and 416,120,715

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Solution

The third proportional to 194,209,691 and 416,120,715 is: 891,595,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,691 : 416,120,715 = 416,120,715 : x
  2. Step 2: Convert to fraction form
    194,209,691/416,120,715 = 416,120,715/x
  3. Step 3: Cross multiply
    194,209,691x = 416,120,715 × 416,120,715
  4. Step 4: Simplify right side
    194,209,691x = 173,156,449,452,111,232
  5. Step 5: Solve for x
    x = 173,156,449,452,111,232/194,209,691
  6. Step 6: Final answer
    x = 891,595,308.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.