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Finding the Third Proportional to 88,835.06 and 194,277.94

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Solution

The third proportional to 88,835.06 and 194,277.94 is: 424,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,835.06 : 194,277.94 = 194,277.94 : x
  2. Step 2: Convert to fraction form
    88,835.06/194,277.94 = 194,277.94/x
  3. Step 3: Cross multiply
    88,835.06x = 194,277.94 × 194,277.94
  4. Step 4: Simplify right side
    88,835.06x = 37,743,916,999.25
  5. Step 5: Solve for x
    x = 37,743,916,999.25/88,835.06
  6. Step 6: Final answer
    x = 424,876.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.