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Finding the Third Proportional to 80,856,810 and 175,333,284

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Solution

The third proportional to 80,856,810 and 175,333,284 is: 380,200,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856,810 : 175,333,284 = 175,333,284 : x
  2. Step 2: Convert to fraction form
    80,856,810/175,333,284 = 175,333,284/x
  3. Step 3: Cross multiply
    80,856,810x = 175,333,284 × 175,333,284
  4. Step 4: Simplify right side
    80,856,810x = 30,741,760,478,224,656
  5. Step 5: Solve for x
    x = 30,741,760,478,224,656/80,856,810
  6. Step 6: Final answer
    x = 380,200,016.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.