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Finding the Third Proportional to 106,197,083 and 231,083,134

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Solution

The third proportional to 106,197,083 and 231,083,134 is: 502,833,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,197,083 : 231,083,134 = 231,083,134 : x
  2. Step 2: Convert to fraction form
    106,197,083/231,083,134 = 231,083,134/x
  3. Step 3: Cross multiply
    106,197,083x = 231,083,134 × 231,083,134
  4. Step 4: Simplify right side
    106,197,083x = 53,399,414,819,261,952
  5. Step 5: Solve for x
    x = 53,399,414,819,261,952/106,197,083
  6. Step 6: Final answer
    x = 502,833,159.92

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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.