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Finding the Third Proportional to 153,147,900 and 231,545,111

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Solution

The third proportional to 153,147,900 and 231,545,111 is: 350,074,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147,900 : 231,545,111 = 231,545,111 : x
  2. Step 2: Convert to fraction form
    153,147,900/231,545,111 = 231,545,111/x
  3. Step 3: Cross multiply
    153,147,900x = 231,545,111 × 231,545,111
  4. Step 4: Simplify right side
    153,147,900x = 53,613,138,428,002,320
  5. Step 5: Solve for x
    x = 53,613,138,428,002,320/153,147,900
  6. Step 6: Final answer
    x = 350,074,264.34

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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.