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Finding the Third Proportional to 46,963.50 and 101,889

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Solution

The third proportional to 46,963.50 and 101,889 is: 221,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963.50 : 101,889 = 101,889 : x
  2. Step 2: Convert to fraction form
    46,963.50/101,889 = 101,889/x
  3. Step 3: Cross multiply
    46,963.50x = 101,889 × 101,889
  4. Step 4: Simplify right side
    46,963.50x = 10,381,368,321
  5. Step 5: Solve for x
    x = 10,381,368,321/46,963.50
  6. Step 6: Final answer
    x = 221,051.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.