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Finding the Third Proportional to 101,071.13 and 214,464.38

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Solution

The third proportional to 101,071.13 and 214,464.38 is: 455,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,071.13 : 214,464.38 = 214,464.38 : x
  2. Step 2: Convert to fraction form
    101,071.13/214,464.38 = 214,464.38/x
  3. Step 3: Cross multiply
    101,071.13x = 214,464.38 × 214,464.38
  4. Step 4: Simplify right side
    101,071.13x = 45,994,968,144.14
  5. Step 5: Solve for x
    x = 45,994,968,144.14/101,071.13
  6. Step 6: Final answer
    x = 455,075.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.