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Finding the Third Proportional to 109,496.81 and 236,079.56

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Solution

The third proportional to 109,496.81 and 236,079.56 is: 508,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496.81 : 236,079.56 = 236,079.56 : x
  2. Step 2: Convert to fraction form
    109,496.81/236,079.56 = 236,079.56/x
  3. Step 3: Cross multiply
    109,496.81x = 236,079.56 × 236,079.56
  4. Step 4: Simplify right side
    109,496.81x = 55,733,559,830.19
  5. Step 5: Solve for x
    x = 55,733,559,830.19/109,496.81
  6. Step 6: Final answer
    x = 508,997.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.