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Finding the Third Proportional to 103,335.75 and 190,474.03

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Solution

The third proportional to 103,335.75 and 190,474.03 is: 351,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,335.75 : 190,474.03 = 190,474.03 : x
  2. Step 2: Convert to fraction form
    103,335.75/190,474.03 = 190,474.03/x
  3. Step 3: Cross multiply
    103,335.75x = 190,474.03 × 190,474.03
  4. Step 4: Simplify right side
    103,335.75x = 36,280,356,580.63
  5. Step 5: Solve for x
    x = 36,280,356,580.63/103,335.75
  6. Step 6: Final answer
    x = 351,092.01

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.