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Finding the Third Proportional to 46,478 and 98,950

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Solution

The third proportional to 46,478 and 98,950 is: 210,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478 : 98,950 = 98,950 : x
  2. Step 2: Convert to fraction form
    46,478/98,950 = 98,950/x
  3. Step 3: Cross multiply
    46,478x = 98,950 × 98,950
  4. Step 4: Simplify right side
    46,478x = 9,791,102,500
  5. Step 5: Solve for x
    x = 9,791,102,500/46,478
  6. Step 6: Final answer
    x = 210,661.01

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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.