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Finding the Third Proportional to 93,523 and 201,809

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Solution

The third proportional to 93,523 and 201,809 is: 435,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,523 : 201,809 = 201,809 : x
  2. Step 2: Convert to fraction form
    93,523/201,809 = 201,809/x
  3. Step 3: Cross multiply
    93,523x = 201,809 × 201,809
  4. Step 4: Simplify right side
    93,523x = 40,726,872,481
  5. Step 5: Solve for x
    x = 40,726,872,481/93,523
  6. Step 6: Final answer
    x = 435,474.40

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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.