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Finding the Third Proportional to 93,988.50 and 205,125

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Solution

The third proportional to 93,988.50 and 205,125 is: 447,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,988.50 : 205,125 = 205,125 : x
  2. Step 2: Convert to fraction form
    93,988.50/205,125 = 205,125/x
  3. Step 3: Cross multiply
    93,988.50x = 205,125 × 205,125
  4. Step 4: Simplify right side
    93,988.50x = 42,076,265,625
  5. Step 5: Solve for x
    x = 42,076,265,625/93,988.50
  6. Step 6: Final answer
    x = 447,674.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.