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Finding the Third Proportional to 93,723 and 202,415

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Solution

The third proportional to 93,723 and 202,415 is: 437,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,723 : 202,415 = 202,415 : x
  2. Step 2: Convert to fraction form
    93,723/202,415 = 202,415/x
  3. Step 3: Cross multiply
    93,723x = 202,415 × 202,415
  4. Step 4: Simplify right side
    93,723x = 40,971,832,225
  5. Step 5: Solve for x
    x = 40,971,832,225/93,723
  6. Step 6: Final answer
    x = 437,158.78

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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.