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Finding the Third Proportional to 64,106.44 and 166,417.03

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Solution

The third proportional to 64,106.44 and 166,417.03 is: 432,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106.44 : 166,417.03 = 166,417.03 : x
  2. Step 2: Convert to fraction form
    64,106.44/166,417.03 = 166,417.03/x
  3. Step 3: Cross multiply
    64,106.44x = 166,417.03 × 166,417.03
  4. Step 4: Simplify right side
    64,106.44x = 27,694,628,290.06
  5. Step 5: Solve for x
    x = 27,694,628,290.06/64,106.44
  6. Step 6: Final answer
    x = 432,010.10

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.