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Finding the Third Proportional to 143,978,634 and 231,853,023

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Solution

The third proportional to 143,978,634 and 231,853,023 is: 373,359,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,978,634 : 231,853,023 = 231,853,023 : x
  2. Step 2: Convert to fraction form
    143,978,634/231,853,023 = 231,853,023/x
  3. Step 3: Cross multiply
    143,978,634x = 231,853,023 × 231,853,023
  4. Step 4: Simplify right side
    143,978,634x = 53,755,824,274,238,528
  5. Step 5: Solve for x
    x = 53,755,824,274,238,528/143,978,634
  6. Step 6: Final answer
    x = 373,359,732.49

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.