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Finding the Third Proportional to 96,332,514 and 137,323,710

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Solution

The third proportional to 96,332,514 and 137,323,710 is: 195,757,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,332,514 : 137,323,710 = 137,323,710 : x
  2. Step 2: Convert to fraction form
    96,332,514/137,323,710 = 137,323,710/x
  3. Step 3: Cross multiply
    96,332,514x = 137,323,710 × 137,323,710
  4. Step 4: Simplify right side
    96,332,514x = 18,857,801,328,164,100
  5. Step 5: Solve for x
    x = 18,857,801,328,164,100/96,332,514
  6. Step 6: Final answer
    x = 195,757,388.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.