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Finding the Third Proportional to 99,645.19 and 166,075.31

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Solution

The third proportional to 99,645.19 and 166,075.31 is: 276,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645.19 : 166,075.31 = 166,075.31 : x
  2. Step 2: Convert to fraction form
    99,645.19/166,075.31 = 166,075.31/x
  3. Step 3: Cross multiply
    99,645.19x = 166,075.31 × 166,075.31
  4. Step 4: Simplify right side
    99,645.19x = 27,581,009,421.97
  5. Step 5: Solve for x
    x = 27,581,009,421.97/99,645.19
  6. Step 6: Final answer
    x = 276,792.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.