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Finding the Third Proportional to 106,197,081 and 231,083,130

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Solution

The third proportional to 106,197,081 and 231,083,130 is: 502,833,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,197,081 : 231,083,130 = 231,083,130 : x
  2. Step 2: Convert to fraction form
    106,197,081/231,083,130 = 231,083,130/x
  3. Step 3: Cross multiply
    106,197,081x = 231,083,130 × 231,083,130
  4. Step 4: Simplify right side
    106,197,081x = 53,399,412,970,596,896
  5. Step 5: Solve for x
    x = 53,399,412,970,596,896/106,197,081
  6. Step 6: Final answer
    x = 502,833,151.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.