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Finding the Third Proportional to 130,636.50 and 190,914.03

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Solution

The third proportional to 130,636.50 and 190,914.03 is: 279,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,636.50 : 190,914.03 = 190,914.03 : x
  2. Step 2: Convert to fraction form
    130,636.50/190,914.03 = 190,914.03/x
  3. Step 3: Cross multiply
    130,636.50x = 190,914.03 × 190,914.03
  4. Step 4: Simplify right side
    130,636.50x = 36,448,167,328.13
  5. Step 5: Solve for x
    x = 36,448,167,328.13/130,636.50
  6. Step 6: Final answer
    x = 279,004.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.