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Finding the Third Proportional to 46,758.75 and 100,898.63

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Solution

The third proportional to 46,758.75 and 100,898.63 is: 217,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,758.75 : 100,898.63 = 100,898.63 : x
  2. Step 2: Convert to fraction form
    46,758.75/100,898.63 = 100,898.63/x
  3. Step 3: Cross multiply
    46,758.75x = 100,898.63 × 100,898.63
  4. Step 4: Simplify right side
    46,758.75x = 10,180,532,526.89
  5. Step 5: Solve for x
    x = 10,180,532,526.89/46,758.75
  6. Step 6: Final answer
    x = 217,724.65

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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.