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Finding the Third Proportional to 101,918.25 and 146,802.38

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Solution

The third proportional to 101,918.25 and 146,802.38 is: 211,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,918.25 : 146,802.38 = 146,802.38 : x
  2. Step 2: Convert to fraction form
    101,918.25/146,802.38 = 146,802.38/x
  3. Step 3: Cross multiply
    101,918.25x = 146,802.38 × 146,802.38
  4. Step 4: Simplify right side
    101,918.25x = 21,550,937,305.64
  5. Step 5: Solve for x
    x = 21,550,937,305.64/101,918.25
  6. Step 6: Final answer
    x = 211,453.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.