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Finding the Third Proportional to 44,815.50 and 94,221

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Solution

The third proportional to 44,815.50 and 94,221 is: 198,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,815.50 : 94,221 = 94,221 : x
  2. Step 2: Convert to fraction form
    44,815.50/94,221 = 94,221/x
  3. Step 3: Cross multiply
    44,815.50x = 94,221 × 94,221
  4. Step 4: Simplify right side
    44,815.50x = 8,877,596,841
  5. Step 5: Solve for x
    x = 8,877,596,841/44,815.50
  6. Step 6: Final answer
    x = 198,092.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.