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Finding the Third Proportional to 135,434,613 and 206,320,640

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Solution

The third proportional to 135,434,613 and 206,320,640 is: 314,308,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,434,613 : 206,320,640 = 206,320,640 : x
  2. Step 2: Convert to fraction form
    135,434,613/206,320,640 = 206,320,640/x
  3. Step 3: Cross multiply
    135,434,613x = 206,320,640 × 206,320,640
  4. Step 4: Simplify right side
    135,434,613x = 42,568,206,490,009,600
  5. Step 5: Solve for x
    x = 42,568,206,490,009,600/135,434,613
  6. Step 6: Final answer
    x = 314,308,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.