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Finding the Third Proportional to 93,459 and 199,152

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Solution

The third proportional to 93,459 and 199,152 is: 424,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,459 : 199,152 = 199,152 : x
  2. Step 2: Convert to fraction form
    93,459/199,152 = 199,152/x
  3. Step 3: Cross multiply
    93,459x = 199,152 × 199,152
  4. Step 4: Simplify right side
    93,459x = 39,661,519,104
  5. Step 5: Solve for x
    x = 39,661,519,104/93,459
  6. Step 6: Final answer
    x = 424,373.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.