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Finding the Third Proportional to 109,100.36 and 169,325.91

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Solution

The third proportional to 109,100.36 and 169,325.91 is: 262,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,100.36 : 169,325.91 = 169,325.91 : x
  2. Step 2: Convert to fraction form
    109,100.36/169,325.91 = 169,325.91/x
  3. Step 3: Cross multiply
    109,100.36x = 169,325.91 × 169,325.91
  4. Step 4: Simplify right side
    109,100.36x = 28,671,264,511.67
  5. Step 5: Solve for x
    x = 28,671,264,511.67/109,100.36
  6. Step 6: Final answer
    x = 262,797.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.