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Finding the Third Proportional to 46,899 and 99,948.94

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Solution

The third proportional to 46,899 and 99,948.94 is: 213,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899 : 99,948.94 = 99,948.94 : x
  2. Step 2: Convert to fraction form
    46,899/99,948.94 = 99,948.94/x
  3. Step 3: Cross multiply
    46,899x = 99,948.94 × 99,948.94
  4. Step 4: Simplify right side
    46,899x = 9,989,790,107.38
  5. Step 5: Solve for x
    x = 9,989,790,107.38/46,899
  6. Step 6: Final answer
    x = 213,006.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.