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Finding the Third Proportional to 46,266.19 and 99,675.56

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Solution

The third proportional to 46,266.19 and 99,675.56 is: 214,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,266.19 : 99,675.56 = 99,675.56 : x
  2. Step 2: Convert to fraction form
    46,266.19/99,675.56 = 99,675.56/x
  3. Step 3: Cross multiply
    46,266.19x = 99,675.56 × 99,675.56
  4. Step 4: Simplify right side
    46,266.19x = 9,935,217,759.69
  5. Step 5: Solve for x
    x = 9,935,217,759.69/46,266.19
  6. Step 6: Final answer
    x = 214,740.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.