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Finding the Third Proportional to 93,519 and 200,436.75

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Solution

The third proportional to 93,519 and 200,436.75 is: 429,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,519 : 200,436.75 = 200,436.75 : x
  2. Step 2: Convert to fraction form
    93,519/200,436.75 = 200,436.75/x
  3. Step 3: Cross multiply
    93,519x = 200,436.75 × 200,436.75
  4. Step 4: Simplify right side
    93,519x = 40,174,890,750.56
  5. Step 5: Solve for x
    x = 40,174,890,750.56/93,519
  6. Step 6: Final answer
    x = 429,590.68

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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.