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Finding the Third Proportional to 93,658.50 and 200,715.75

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Solution

The third proportional to 93,658.50 and 200,715.75 is: 430,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,658.50 : 200,715.75 = 200,715.75 : x
  2. Step 2: Convert to fraction form
    93,658.50/200,715.75 = 200,715.75/x
  3. Step 3: Cross multiply
    93,658.50x = 200,715.75 × 200,715.75
  4. Step 4: Simplify right side
    93,658.50x = 40,286,812,298.06
  5. Step 5: Solve for x
    x = 40,286,812,298.06/93,658.50
  6. Step 6: Final answer
    x = 430,145.82

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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.