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Finding the Third Proportional to 135,607,414.36 and 294,332,512.22

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Solution

The third proportional to 135,607,414.36 and 294,332,512.22 is: 638,841,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,607,414.36 : 294,332,512.22 = 294,332,512.22 : x
  2. Step 2: Convert to fraction form
    135,607,414.36/294,332,512.22 = 294,332,512.22/x
  3. Step 3: Cross multiply
    135,607,414.36x = 294,332,512.22 × 294,332,512.22
  4. Step 4: Simplify right side
    135,607,414.36x = 86,631,627,749,000,624
  5. Step 5: Solve for x
    x = 86,631,627,749,000,624/135,607,414.36
  6. Step 6: Final answer
    x = 638,841,380.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.