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Finding the Third Proportional to 85,241,013.19 and 124,672,873.78

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Solution

The third proportional to 85,241,013.19 and 124,672,873.78 is: 182,345,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241,013.19 : 124,672,873.78 = 124,672,873.78 : x
  2. Step 2: Convert to fraction form
    85,241,013.19/124,672,873.78 = 124,672,873.78/x
  3. Step 3: Cross multiply
    85,241,013.19x = 124,672,873.78 × 124,672,873.78
  4. Step 4: Simplify right side
    85,241,013.19x = 15,543,325,456,875,494
  5. Step 5: Solve for x
    x = 15,543,325,456,875,494/85,241,013.19
  6. Step 6: Final answer
    x = 182,345,620.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.