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Finding the Third Proportional to 88,266.94 and 181,184.06

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Solution

The third proportional to 88,266.94 and 181,184.06 is: 371,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,266.94 : 181,184.06 = 181,184.06 : x
  2. Step 2: Convert to fraction form
    88,266.94/181,184.06 = 181,184.06/x
  3. Step 3: Cross multiply
    88,266.94x = 181,184.06 × 181,184.06
  4. Step 4: Simplify right side
    88,266.94x = 32,827,664,504.00
  5. Step 5: Solve for x
    x = 32,827,664,504.00/88,266.94
  6. Step 6: Final answer
    x = 371,913.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.