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Finding the Third Proportional to 93,410 and 204,988

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Solution

The third proportional to 93,410 and 204,988 is: 449,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,410 : 204,988 = 204,988 : x
  2. Step 2: Convert to fraction form
    93,410/204,988 = 204,988/x
  3. Step 3: Cross multiply
    93,410x = 204,988 × 204,988
  4. Step 4: Simplify right side
    93,410x = 42,020,080,144
  5. Step 5: Solve for x
    x = 42,020,080,144/93,410
  6. Step 6: Final answer
    x = 449,845.63

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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.