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Finding the Third Proportional to 109,940.63 and 168,466.50

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Solution

The third proportional to 109,940.63 and 168,466.50 is: 258,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,940.63 : 168,466.50 = 168,466.50 : x
  2. Step 2: Convert to fraction form
    109,940.63/168,466.50 = 168,466.50/x
  3. Step 3: Cross multiply
    109,940.63x = 168,466.50 × 168,466.50
  4. Step 4: Simplify right side
    109,940.63x = 28,380,961,622.25
  5. Step 5: Solve for x
    x = 28,380,961,622.25/109,940.63
  6. Step 6: Final answer
    x = 258,148.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.