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Finding the Third Proportional to 95,067,006.75 and 200,347,641

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Solution

The third proportional to 95,067,006.75 and 200,347,641 is: 422,219,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,067,006.75 : 200,347,641 = 200,347,641 : x
  2. Step 2: Convert to fraction form
    95,067,006.75/200,347,641 = 200,347,641/x
  3. Step 3: Cross multiply
    95,067,006.75x = 200,347,641 × 200,347,641
  4. Step 4: Simplify right side
    95,067,006.75x = 40,139,177,254,264,880
  5. Step 5: Solve for x
    x = 40,139,177,254,264,880/95,067,006.75
  6. Step 6: Final answer
    x = 422,219,849.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.