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Finding the Third Proportional to 97,471.50 and 202,602

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Solution

The third proportional to 97,471.50 and 202,602 is: 421,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471.50 : 202,602 = 202,602 : x
  2. Step 2: Convert to fraction form
    97,471.50/202,602 = 202,602/x
  3. Step 3: Cross multiply
    97,471.50x = 202,602 × 202,602
  4. Step 4: Simplify right side
    97,471.50x = 41,047,570,404
  5. Step 5: Solve for x
    x = 41,047,570,404/97,471.50
  6. Step 6: Final answer
    x = 421,123.82

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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.