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Finding the Third Proportional to 142,034,066 and 305,640,694

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Solution

The third proportional to 142,034,066 and 305,640,694 is: 657,703,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,066 : 305,640,694 = 305,640,694 : x
  2. Step 2: Convert to fraction form
    142,034,066/305,640,694 = 305,640,694/x
  3. Step 3: Cross multiply
    142,034,066x = 305,640,694 × 305,640,694
  4. Step 4: Simplify right side
    142,034,066x = 93,416,233,828,801,632
  5. Step 5: Solve for x
    x = 93,416,233,828,801,632/142,034,066
  6. Step 6: Final answer
    x = 657,703,017.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.