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Finding the Third Proportional to 136,191,613 and 191,103,793.50

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Solution

The third proportional to 136,191,613 and 191,103,793.50 is: 268,156,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191,613 : 191,103,793.50 = 191,103,793.50 : x
  2. Step 2: Convert to fraction form
    136,191,613/191,103,793.50 = 191,103,793.50/x
  3. Step 3: Cross multiply
    136,191,613x = 191,103,793.50 × 191,103,793.50
  4. Step 4: Simplify right side
    136,191,613x = 36,520,659,890,090,640
  5. Step 5: Solve for x
    x = 36,520,659,890,090,640/136,191,613
  6. Step 6: Final answer
    x = 268,156,453.14

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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.