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Finding the Third Proportional to 47,482.88 and 102,873.38

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Solution

The third proportional to 47,482.88 and 102,873.38 is: 222,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482.88 : 102,873.38 = 102,873.38 : x
  2. Step 2: Convert to fraction form
    47,482.88/102,873.38 = 102,873.38/x
  3. Step 3: Cross multiply
    47,482.88x = 102,873.38 × 102,873.38
  4. Step 4: Simplify right side
    47,482.88x = 10,582,931,283.89
  5. Step 5: Solve for x
    x = 10,582,931,283.89/47,482.88
  6. Step 6: Final answer
    x = 222,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.