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Finding the Third Proportional to 131,981,415 and 199,670,826.75

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Solution

The third proportional to 131,981,415 and 199,670,826.75 is: 302,076,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,981,415 : 199,670,826.75 = 199,670,826.75 : x
  2. Step 2: Convert to fraction form
    131,981,415/199,670,826.75 = 199,670,826.75/x
  3. Step 3: Cross multiply
    131,981,415x = 199,670,826.75 × 199,670,826.75
  4. Step 4: Simplify right side
    131,981,415x = 39,868,439,055,028,512
  5. Step 5: Solve for x
    x = 39,868,439,055,028,512/131,981,415
  6. Step 6: Final answer
    x = 302,076,160.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.