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Finding the Third Proportional to 71,098,852 and 106,183,206

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Solution

The third proportional to 71,098,852 and 106,183,206 is: 158,580,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098,852 : 106,183,206 = 106,183,206 : x
  2. Step 2: Convert to fraction form
    71,098,852/106,183,206 = 106,183,206/x
  3. Step 3: Cross multiply
    71,098,852x = 106,183,206 × 106,183,206
  4. Step 4: Simplify right side
    71,098,852x = 11,274,873,236,438,436
  5. Step 5: Solve for x
    x = 11,274,873,236,438,436/71,098,852
  6. Step 6: Final answer
    x = 158,580,243.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.