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Finding the Third Proportional to 88,364.50 and 181,913

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Solution

The third proportional to 88,364.50 and 181,913 is: 374,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,364.50 : 181,913 = 181,913 : x
  2. Step 2: Convert to fraction form
    88,364.50/181,913 = 181,913/x
  3. Step 3: Cross multiply
    88,364.50x = 181,913 × 181,913
  4. Step 4: Simplify right side
    88,364.50x = 33,092,339,569
  5. Step 5: Solve for x
    x = 33,092,339,569/88,364.50
  6. Step 6: Final answer
    x = 374,498.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.