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Finding the Third Proportional to 93,618 and 223,845

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Solution

The third proportional to 93,618 and 223,845 is: 535,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,618 : 223,845 = 223,845 : x
  2. Step 2: Convert to fraction form
    93,618/223,845 = 223,845/x
  3. Step 3: Cross multiply
    93,618x = 223,845 × 223,845
  4. Step 4: Simplify right side
    93,618x = 50,106,584,025
  5. Step 5: Solve for x
    x = 50,106,584,025/93,618
  6. Step 6: Final answer
    x = 535,223.82

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.