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Finding the Third Proportional to 93,507 and 204,540

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Solution

The third proportional to 93,507 and 204,540 is: 447,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,507 : 204,540 = 204,540 : x
  2. Step 2: Convert to fraction form
    93,507/204,540 = 204,540/x
  3. Step 3: Cross multiply
    93,507x = 204,540 × 204,540
  4. Step 4: Simplify right side
    93,507x = 41,836,611,600
  5. Step 5: Solve for x
    x = 41,836,611,600/93,507
  6. Step 6: Final answer
    x = 447,416.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.