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Finding the Third Proportional to 109,587.94 and 164,384.44

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Solution

The third proportional to 109,587.94 and 164,384.44 is: 246,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,587.94 : 164,384.44 = 164,384.44 : x
  2. Step 2: Convert to fraction form
    109,587.94/164,384.44 = 164,384.44/x
  3. Step 3: Cross multiply
    109,587.94x = 164,384.44 × 164,384.44
  4. Step 4: Simplify right side
    109,587.94x = 27,022,243,292.19
  5. Step 5: Solve for x
    x = 27,022,243,292.19/109,587.94
  6. Step 6: Final answer
    x = 246,580.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.