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Finding the Third Proportional to 46,857.94 and 102,035.25

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Solution

The third proportional to 46,857.94 and 102,035.25 is: 222,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857.94 : 102,035.25 = 102,035.25 : x
  2. Step 2: Convert to fraction form
    46,857.94/102,035.25 = 102,035.25/x
  3. Step 3: Cross multiply
    46,857.94x = 102,035.25 × 102,035.25
  4. Step 4: Simplify right side
    46,857.94x = 10,411,192,242.56
  5. Step 5: Solve for x
    x = 10,411,192,242.56/46,857.94
  6. Step 6: Final answer
    x = 222,186.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.