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Finding the Third Proportional to 93,237 and 204,619.50

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Solution

The third proportional to 93,237 and 204,619.50 is: 449,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,237 : 204,619.50 = 204,619.50 : x
  2. Step 2: Convert to fraction form
    93,237/204,619.50 = 204,619.50/x
  3. Step 3: Cross multiply
    93,237x = 204,619.50 × 204,619.50
  4. Step 4: Simplify right side
    93,237x = 41,869,139,780.25
  5. Step 5: Solve for x
    x = 41,869,139,780.25/93,237
  6. Step 6: Final answer
    x = 449,061.42

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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.