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Finding the Third Proportional to 130,922.44 and 200,190.94

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Solution

The third proportional to 130,922.44 and 200,190.94 is: 306,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,922.44 : 200,190.94 = 200,190.94 : x
  2. Step 2: Convert to fraction form
    130,922.44/200,190.94 = 200,190.94/x
  3. Step 3: Cross multiply
    130,922.44x = 200,190.94 × 200,190.94
  4. Step 4: Simplify right side
    130,922.44x = 40,076,411,457.13
  5. Step 5: Solve for x
    x = 40,076,411,457.13/130,922.44
  6. Step 6: Final answer
    x = 306,108.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.