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Finding the Third Proportional to 93,374.65 and 200,064.94

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Solution

The third proportional to 93,374.65 and 200,064.94 is: 428,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,374.65 : 200,064.94 = 200,064.94 : x
  2. Step 2: Convert to fraction form
    93,374.65/200,064.94 = 200,064.94/x
  3. Step 3: Cross multiply
    93,374.65x = 200,064.94 × 200,064.94
  4. Step 4: Simplify right side
    93,374.65x = 40,025,979,216.88
  5. Step 5: Solve for x
    x = 40,025,979,216.88/93,374.65
  6. Step 6: Final answer
    x = 428,660.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.