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Finding the Third Proportional to 46,465.21 and 99,675.09

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Solution

The third proportional to 46,465.21 and 99,675.09 is: 213,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,465.21 : 99,675.09 = 99,675.09 : x
  2. Step 2: Convert to fraction form
    46,465.21/99,675.09 = 99,675.09/x
  3. Step 3: Cross multiply
    46,465.21x = 99,675.09 × 99,675.09
  4. Step 4: Simplify right side
    46,465.21x = 9,935,123,146.00
  5. Step 5: Solve for x
    x = 9,935,123,146.00/46,465.21
  6. Step 6: Final answer
    x = 213,818.55

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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.