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Finding the Third Proportional to 87,270,997.69 and 130,149,699.86

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Solution

The third proportional to 87,270,997.69 and 130,149,699.86 is: 194,095,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,270,997.69 : 130,149,699.86 = 130,149,699.86 : x
  2. Step 2: Convert to fraction form
    87,270,997.69/130,149,699.86 = 130,149,699.86/x
  3. Step 3: Cross multiply
    87,270,997.69x = 130,149,699.86 × 130,149,699.86
  4. Step 4: Simplify right side
    87,270,997.69x = 16,938,944,372,468,928
  5. Step 5: Solve for x
    x = 16,938,944,372,468,928/87,270,997.69
  6. Step 6: Final answer
    x = 194,095,917.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.