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Finding the Third Proportional to 187,981,041 and 287,374,998

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Solution

The third proportional to 187,981,041 and 287,374,998 is: 439,322,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,981,041 : 287,374,998 = 287,374,998 : x
  2. Step 2: Convert to fraction form
    187,981,041/287,374,998 = 287,374,998/x
  3. Step 3: Cross multiply
    187,981,041x = 287,374,998 × 287,374,998
  4. Step 4: Simplify right side
    187,981,041x = 82,584,389,475,500,000
  5. Step 5: Solve for x
    x = 82,584,389,475,500,000/187,981,041
  6. Step 6: Final answer
    x = 439,322,971.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.