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Finding the Third Proportional to 46,309.50 and 101,181.50

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Solution

The third proportional to 46,309.50 and 101,181.50 is: 221,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,309.50 : 101,181.50 = 101,181.50 : x
  2. Step 2: Convert to fraction form
    46,309.50/101,181.50 = 101,181.50/x
  3. Step 3: Cross multiply
    46,309.50x = 101,181.50 × 101,181.50
  4. Step 4: Simplify right side
    46,309.50x = 10,237,695,942.25
  5. Step 5: Solve for x
    x = 10,237,695,942.25/46,309.50
  6. Step 6: Final answer
    x = 221,071.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.