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Finding the Third Proportional to 95,830,535 and 208,451,601

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Solution

The third proportional to 95,830,535 and 208,451,601 is: 453,426,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830,535 : 208,451,601 = 208,451,601 : x
  2. Step 2: Convert to fraction form
    95,830,535/208,451,601 = 208,451,601/x
  3. Step 3: Cross multiply
    95,830,535x = 208,451,601 × 208,451,601
  4. Step 4: Simplify right side
    95,830,535x = 43,452,069,959,463,200
  5. Step 5: Solve for x
    x = 43,452,069,959,463,200/95,830,535
  6. Step 6: Final answer
    x = 453,426,143.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.