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Finding the Third Proportional to 97,476.75 and 202,351.50

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Solution

The third proportional to 97,476.75 and 202,351.50 is: 420,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,476.75 : 202,351.50 = 202,351.50 : x
  2. Step 2: Convert to fraction form
    97,476.75/202,351.50 = 202,351.50/x
  3. Step 3: Cross multiply
    97,476.75x = 202,351.50 × 202,351.50
  4. Step 4: Simplify right side
    97,476.75x = 40,946,129,552.25
  5. Step 5: Solve for x
    x = 40,946,129,552.25/97,476.75
  6. Step 6: Final answer
    x = 420,060.47

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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.