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Finding the Third Proportional to 132,374,022.75 and 204,143,715

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Solution

The third proportional to 132,374,022.75 and 204,143,715 is: 314,825,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,374,022.75 : 204,143,715 = 204,143,715 : x
  2. Step 2: Convert to fraction form
    132,374,022.75/204,143,715 = 204,143,715/x
  3. Step 3: Cross multiply
    132,374,022.75x = 204,143,715 × 204,143,715
  4. Step 4: Simplify right side
    132,374,022.75x = 41,674,656,374,001,224
  5. Step 5: Solve for x
    x = 41,674,656,374,001,224/132,374,022.75
  6. Step 6: Final answer
    x = 314,825,035.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.