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Finding the Third Proportional to 44,741.25 and 97,776

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Solution

The third proportional to 44,741.25 and 97,776 is: 213,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,741.25 : 97,776 = 97,776 : x
  2. Step 2: Convert to fraction form
    44,741.25/97,776 = 97,776/x
  3. Step 3: Cross multiply
    44,741.25x = 97,776 × 97,776
  4. Step 4: Simplify right side
    44,741.25x = 9,560,146,176
  5. Step 5: Solve for x
    x = 9,560,146,176/44,741.25
  6. Step 6: Final answer
    x = 213,676.33

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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.