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Finding the Third Proportional to 93,400 and 201,563

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Solution

The third proportional to 93,400 and 201,563 is: 434,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,400 : 201,563 = 201,563 : x
  2. Step 2: Convert to fraction form
    93,400/201,563 = 201,563/x
  3. Step 3: Cross multiply
    93,400x = 201,563 × 201,563
  4. Step 4: Simplify right side
    93,400x = 40,627,642,969
  5. Step 5: Solve for x
    x = 40,627,642,969/93,400
  6. Step 6: Final answer
    x = 434,985.47

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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.