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Finding the Third Proportional to 46,008.28 and 99,266.06

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Solution

The third proportional to 46,008.28 and 99,266.06 is: 214,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008.28 : 99,266.06 = 99,266.06 : x
  2. Step 2: Convert to fraction form
    46,008.28/99,266.06 = 99,266.06/x
  3. Step 3: Cross multiply
    46,008.28x = 99,266.06 × 99,266.06
  4. Step 4: Simplify right side
    46,008.28x = 9,853,751,164.25
  5. Step 5: Solve for x
    x = 9,853,751,164.25/46,008.28
  6. Step 6: Final answer
    x = 214,173.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.