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Finding the Third Proportional to 40,288.64 and 86,113.13

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Solution

The third proportional to 40,288.64 and 86,113.13 is: 184,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,288.64 : 86,113.13 = 86,113.13 : x
  2. Step 2: Convert to fraction form
    40,288.64/86,113.13 = 86,113.13/x
  3. Step 3: Cross multiply
    40,288.64x = 86,113.13 × 86,113.13
  4. Step 4: Simplify right side
    40,288.64x = 7,415,470,297.27
  5. Step 5: Solve for x
    x = 7,415,470,297.27/40,288.64
  6. Step 6: Final answer
    x = 184,058.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.