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Finding the Third Proportional to 94,395.38 and 183,999.09

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Solution

The third proportional to 94,395.38 and 183,999.09 is: 358,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,395.38 : 183,999.09 = 183,999.09 : x
  2. Step 2: Convert to fraction form
    94,395.38/183,999.09 = 183,999.09/x
  3. Step 3: Cross multiply
    94,395.38x = 183,999.09 × 183,999.09
  4. Step 4: Simplify right side
    94,395.38x = 33,855,666,500.82
  5. Step 5: Solve for x
    x = 33,855,666,500.82/94,395.38
  6. Step 6: Final answer
    x = 358,658.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.