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Finding the Third Proportional to 93,458.50 and 205,600

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Solution

The third proportional to 93,458.50 and 205,600 is: 452,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,458.50 : 205,600 = 205,600 : x
  2. Step 2: Convert to fraction form
    93,458.50/205,600 = 205,600/x
  3. Step 3: Cross multiply
    93,458.50x = 205,600 × 205,600
  4. Step 4: Simplify right side
    93,458.50x = 42,271,360,000
  5. Step 5: Solve for x
    x = 42,271,360,000/93,458.50
  6. Step 6: Final answer
    x = 452,300.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.