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Finding the Third Proportional to 135,608,370.75 and 294,334,455.38

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Solution

The third proportional to 135,608,370.75 and 294,334,455.38 is: 638,845,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,608,370.75 : 294,334,455.38 = 294,334,455.38 : x
  2. Step 2: Convert to fraction form
    135,608,370.75/294,334,455.38 = 294,334,455.38/x
  3. Step 3: Cross multiply
    135,608,370.75x = 294,334,455.38 × 294,334,455.38
  4. Step 4: Simplify right side
    135,608,370.75x = 86,632,771,620,897,872
  5. Step 5: Solve for x
    x = 86,632,771,620,897,872/135,608,370.75
  6. Step 6: Final answer
    x = 638,845,309.78

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