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Finding the Third Proportional to 66,854.06 and 146,828.44

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Solution

The third proportional to 66,854.06 and 146,828.44 is: 322,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,854.06 : 146,828.44 = 146,828.44 : x
  2. Step 2: Convert to fraction form
    66,854.06/146,828.44 = 146,828.44/x
  3. Step 3: Cross multiply
    66,854.06x = 146,828.44 × 146,828.44
  4. Step 4: Simplify right side
    66,854.06x = 21,558,590,058.69
  5. Step 5: Solve for x
    x = 21,558,590,058.69/66,854.06
  6. Step 6: Final answer
    x = 322,472.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.