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Finding the Third Proportional to 21,898.69 and 46,900.69

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Solution

The third proportional to 21,898.69 and 46,900.69 is: 100,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.69 : 46,900.69 = 46,900.69 : x
  2. Step 2: Convert to fraction form
    21,898.69/46,900.69 = 46,900.69/x
  3. Step 3: Cross multiply
    21,898.69x = 46,900.69 × 46,900.69
  4. Step 4: Simplify right side
    21,898.69x = 2,199,674,487.97
  5. Step 5: Solve for x
    x = 2,199,674,487.97/21,898.69
  6. Step 6: Final answer
    x = 100,447.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.