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Finding the Third Proportional to 153,147,898 and 231,545,108

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Solution

The third proportional to 153,147,898 and 231,545,108 is: 350,074,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147,898 : 231,545,108 = 231,545,108 : x
  2. Step 2: Convert to fraction form
    153,147,898/231,545,108 = 231,545,108/x
  3. Step 3: Cross multiply
    153,147,898x = 231,545,108 × 231,545,108
  4. Step 4: Simplify right side
    153,147,898x = 53,613,137,038,731,664
  5. Step 5: Solve for x
    x = 53,613,137,038,731,664/153,147,898
  6. Step 6: Final answer
    x = 350,074,259.84

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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.