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Finding the Third Proportional to 93,723.50 and 202,414

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Solution

The third proportional to 93,723.50 and 202,414 is: 437,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,723.50 : 202,414 = 202,414 : x
  2. Step 2: Convert to fraction form
    93,723.50/202,414 = 202,414/x
  3. Step 3: Cross multiply
    93,723.50x = 202,414 × 202,414
  4. Step 4: Simplify right side
    93,723.50x = 40,971,427,396
  5. Step 5: Solve for x
    x = 40,971,427,396/93,723.50
  6. Step 6: Final answer
    x = 437,152.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.