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Finding the Third Proportional to 47,482.88 and 102,279.38

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Solution

The third proportional to 47,482.88 and 102,279.38 is: 220,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482.88 : 102,279.38 = 102,279.38 : x
  2. Step 2: Convert to fraction form
    47,482.88/102,279.38 = 102,279.38/x
  3. Step 3: Cross multiply
    47,482.88x = 102,279.38 × 102,279.38
  4. Step 4: Simplify right side
    47,482.88x = 10,461,070,550.39
  5. Step 5: Solve for x
    x = 10,461,070,550.39/47,482.88
  6. Step 6: Final answer
    x = 220,312.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.