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Finding the Third Proportional to 93,127.50 and 194,686.88

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Solution

The third proportional to 93,127.50 and 194,686.88 is: 407,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,127.50 : 194,686.88 = 194,686.88 : x
  2. Step 2: Convert to fraction form
    93,127.50/194,686.88 = 194,686.88/x
  3. Step 3: Cross multiply
    93,127.50x = 194,686.88 × 194,686.88
  4. Step 4: Simplify right side
    93,127.50x = 37,902,979,297.27
  5. Step 5: Solve for x
    x = 37,902,979,297.27/93,127.50
  6. Step 6: Final answer
    x = 407,000.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.