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Finding the Third Proportional to 97,463.25 and 202,587.75

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Solution

The third proportional to 97,463.25 and 202,587.75 is: 421,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,463.25 : 202,587.75 = 202,587.75 : x
  2. Step 2: Convert to fraction form
    97,463.25/202,587.75 = 202,587.75/x
  3. Step 3: Cross multiply
    97,463.25x = 202,587.75 × 202,587.75
  4. Step 4: Simplify right side
    97,463.25x = 41,041,796,450.06
  5. Step 5: Solve for x
    x = 41,041,796,450.06/97,463.25
  6. Step 6: Final answer
    x = 421,100.22

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