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Finding the Third Proportional to 93,789 and 191,047.50

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Solution

The third proportional to 93,789 and 191,047.50 is: 389,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,789 : 191,047.50 = 191,047.50 : x
  2. Step 2: Convert to fraction form
    93,789/191,047.50 = 191,047.50/x
  3. Step 3: Cross multiply
    93,789x = 191,047.50 × 191,047.50
  4. Step 4: Simplify right side
    93,789x = 36,499,147,256.25
  5. Step 5: Solve for x
    x = 36,499,147,256.25/93,789
  6. Step 6: Final answer
    x = 389,162.35

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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.