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Finding the Third Proportional to 85,466.81 and 187,037.44

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Solution

The third proportional to 85,466.81 and 187,037.44 is: 409,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,466.81 : 187,037.44 = 187,037.44 : x
  2. Step 2: Convert to fraction form
    85,466.81/187,037.44 = 187,037.44/x
  3. Step 3: Cross multiply
    85,466.81x = 187,037.44 × 187,037.44
  4. Step 4: Simplify right side
    85,466.81x = 34,983,003,026.57
  5. Step 5: Solve for x
    x = 34,983,003,026.57/85,466.81
  6. Step 6: Final answer
    x = 409,316.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.