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Finding the Third Proportional to 93,353.50 and 202,563

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Solution

The third proportional to 93,353.50 and 202,563 is: 439,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,353.50 : 202,563 = 202,563 : x
  2. Step 2: Convert to fraction form
    93,353.50/202,563 = 202,563/x
  3. Step 3: Cross multiply
    93,353.50x = 202,563 × 202,563
  4. Step 4: Simplify right side
    93,353.50x = 41,031,768,969
  5. Step 5: Solve for x
    x = 41,031,768,969/93,353.50
  6. Step 6: Final answer
    x = 439,531.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.