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Finding the Third Proportional to 97,520.63 and 202,773.38

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Solution

The third proportional to 97,520.63 and 202,773.38 is: 421,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,520.63 : 202,773.38 = 202,773.38 : x
  2. Step 2: Convert to fraction form
    97,520.63/202,773.38 = 202,773.38/x
  3. Step 3: Cross multiply
    97,520.63x = 202,773.38 × 202,773.38
  4. Step 4: Simplify right side
    97,520.63x = 41,117,041,608.89
  5. Step 5: Solve for x
    x = 41,117,041,608.89/97,520.63
  6. Step 6: Final answer
    x = 421,624.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.