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Finding the Third Proportional to 153,147,897 and 231,545,105

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Solution

The third proportional to 153,147,897 and 231,545,105 is: 350,074,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147,897 : 231,545,105 = 231,545,105 : x
  2. Step 2: Convert to fraction form
    153,147,897/231,545,105 = 231,545,105/x
  3. Step 3: Cross multiply
    153,147,897x = 231,545,105 × 231,545,105
  4. Step 4: Simplify right side
    153,147,897x = 53,613,135,649,461,024
  5. Step 5: Solve for x
    x = 53,613,135,649,461,024/153,147,897
  6. Step 6: Final answer
    x = 350,074,253.06

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Why These Related Problems?

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