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Finding the Third Proportional to 109,238.63 and 164,860.31

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Solution

The third proportional to 109,238.63 and 164,860.31 is: 248,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,238.63 : 164,860.31 = 164,860.31 : x
  2. Step 2: Convert to fraction form
    109,238.63/164,860.31 = 164,860.31/x
  3. Step 3: Cross multiply
    109,238.63x = 164,860.31 × 164,860.31
  4. Step 4: Simplify right side
    109,238.63x = 27,178,922,637.60
  5. Step 5: Solve for x
    x = 27,178,922,637.60/109,238.63
  6. Step 6: Final answer
    x = 248,803.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.