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Finding the Third Proportional to 93,392 and 215,984

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Solution

The third proportional to 93,392 and 215,984 is: 499,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,392 : 215,984 = 215,984 : x
  2. Step 2: Convert to fraction form
    93,392/215,984 = 215,984/x
  3. Step 3: Cross multiply
    93,392x = 215,984 × 215,984
  4. Step 4: Simplify right side
    93,392x = 46,649,088,256
  5. Step 5: Solve for x
    x = 46,649,088,256/93,392
  6. Step 6: Final answer
    x = 499,497.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.