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Finding the Third Proportional to 93,464 and 205,022

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Solution

The third proportional to 93,464 and 205,022 is: 449,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,464 : 205,022 = 205,022 : x
  2. Step 2: Convert to fraction form
    93,464/205,022 = 205,022/x
  3. Step 3: Cross multiply
    93,464x = 205,022 × 205,022
  4. Step 4: Simplify right side
    93,464x = 42,034,020,484
  5. Step 5: Solve for x
    x = 42,034,020,484/93,464
  6. Step 6: Final answer
    x = 449,734.88

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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.