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Finding the Third Proportional to 176,320,317.75 and 411,737,613.75

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Solution

The third proportional to 176,320,317.75 and 411,737,613.75 is: 961,476,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320,317.75 : 411,737,613.75 = 411,737,613.75 : x
  2. Step 2: Convert to fraction form
    176,320,317.75/411,737,613.75 = 411,737,613.75/x
  3. Step 3: Cross multiply
    176,320,317.75x = 411,737,613.75 × 411,737,613.75
  4. Step 4: Simplify right side
    176,320,317.75x = 169,527,862,576,544,192
  5. Step 5: Solve for x
    x = 169,527,862,576,544,192/176,320,317.75
  6. Step 6: Final answer
    x = 961,476,616.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.