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Finding the Third Proportional to 109,144.97 and 163,045.41

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Solution

The third proportional to 109,144.97 and 163,045.41 is: 243,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,144.97 : 163,045.41 = 163,045.41 : x
  2. Step 2: Convert to fraction form
    109,144.97/163,045.41 = 163,045.41/x
  3. Step 3: Cross multiply
    109,144.97x = 163,045.41 × 163,045.41
  4. Step 4: Simplify right side
    109,144.97x = 26,583,804,499.23
  5. Step 5: Solve for x
    x = 26,583,804,499.23/109,144.97
  6. Step 6: Final answer
    x = 243,564.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.