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Finding the Third Proportional to 47,250.84 and 105,060.80

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Solution

The third proportional to 47,250.84 and 105,060.80 is: 233,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,250.84 : 105,060.80 = 105,060.80 : x
  2. Step 2: Convert to fraction form
    47,250.84/105,060.80 = 105,060.80/x
  3. Step 3: Cross multiply
    47,250.84x = 105,060.80 × 105,060.80
  4. Step 4: Simplify right side
    47,250.84x = 11,037,771,040.01
  5. Step 5: Solve for x
    x = 11,037,771,040.01/47,250.84
  6. Step 6: Final answer
    x = 233,599.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.