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Finding the Third Proportional to 135,501,837,687 and 204,998,347,965.38

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Solution

The third proportional to 135,501,837,687 and 204,998,347,965.38 is: 310,138,396,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,501,837,687 : 204,998,347,965.38 = 204,998,347,965.38 : x
  2. Step 2: Convert to fraction form
    135,501,837,687/204,998,347,965.38 = 204,998,347,965.38/x
  3. Step 3: Cross multiply
    135,501,837,687x = 204,998,347,965.38 × 204,998,347,965.38
  4. Step 4: Simplify right side
    135,501,837,687x = 42,024,322,668,535,016,849,408
  5. Step 5: Solve for x
    x = 42,024,322,668,535,016,849,408/135,501,837,687
  6. Step 6: Final answer
    x = 310,138,396,540.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.