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Finding the Third Proportional to 93,508.50 and 206,704.50

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Solution

The third proportional to 93,508.50 and 206,704.50 is: 456,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,508.50 : 206,704.50 = 206,704.50 : x
  2. Step 2: Convert to fraction form
    93,508.50/206,704.50 = 206,704.50/x
  3. Step 3: Cross multiply
    93,508.50x = 206,704.50 × 206,704.50
  4. Step 4: Simplify right side
    93,508.50x = 42,726,750,320.25
  5. Step 5: Solve for x
    x = 42,726,750,320.25/93,508.50
  6. Step 6: Final answer
    x = 456,929.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.