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Finding the Third Proportional to 93,398.63 and 206,422.31

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Solution

The third proportional to 93,398.63 and 206,422.31 is: 456,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,398.63 : 206,422.31 = 206,422.31 : x
  2. Step 2: Convert to fraction form
    93,398.63/206,422.31 = 206,422.31/x
  3. Step 3: Cross multiply
    93,398.63x = 206,422.31 × 206,422.31
  4. Step 4: Simplify right side
    93,398.63x = 42,610,171,097.85
  5. Step 5: Solve for x
    x = 42,610,171,097.85/93,398.63
  6. Step 6: Final answer
    x = 456,218.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.