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Finding the Third Proportional to 93,807 and 191,434.50

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Solution

The third proportional to 93,807 and 191,434.50 is: 390,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,807 : 191,434.50 = 191,434.50 : x
  2. Step 2: Convert to fraction form
    93,807/191,434.50 = 191,434.50/x
  3. Step 3: Cross multiply
    93,807x = 191,434.50 × 191,434.50
  4. Step 4: Simplify right side
    93,807x = 36,647,167,790.25
  5. Step 5: Solve for x
    x = 36,647,167,790.25/93,807
  6. Step 6: Final answer
    x = 390,665.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.