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Finding the Third Proportional to 93,634 and 205,316

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Solution

The third proportional to 93,634 and 205,316 is: 450,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,634 : 205,316 = 205,316 : x
  2. Step 2: Convert to fraction form
    93,634/205,316 = 205,316/x
  3. Step 3: Cross multiply
    93,634x = 205,316 × 205,316
  4. Step 4: Simplify right side
    93,634x = 42,154,659,856
  5. Step 5: Solve for x
    x = 42,154,659,856/93,634
  6. Step 6: Final answer
    x = 450,206.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.