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Finding the Third Proportional to 136,191,986 and 191,104,341

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Solution

The third proportional to 136,191,986 and 191,104,341 is: 268,157,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191,986 : 191,104,341 = 191,104,341 : x
  2. Step 2: Convert to fraction form
    136,191,986/191,104,341 = 191,104,341/x
  3. Step 3: Cross multiply
    136,191,986x = 191,104,341 × 191,104,341
  4. Step 4: Simplify right side
    136,191,986x = 36,520,869,149,044,280
  5. Step 5: Solve for x
    x = 36,520,869,149,044,280/136,191,986
  6. Step 6: Final answer
    x = 268,157,255.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.