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Finding the Third Proportional to 93,190.50 and 201,136.50

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Solution

The third proportional to 93,190.50 and 201,136.50 is: 434,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,190.50 : 201,136.50 = 201,136.50 : x
  2. Step 2: Convert to fraction form
    93,190.50/201,136.50 = 201,136.50/x
  3. Step 3: Cross multiply
    93,190.50x = 201,136.50 × 201,136.50
  4. Step 4: Simplify right side
    93,190.50x = 40,455,891,632.25
  5. Step 5: Solve for x
    x = 40,455,891,632.25/93,190.50
  6. Step 6: Final answer
    x = 434,120.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.