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Finding the Third Proportional to 46,901.44 and 102,560.88

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Solution

The third proportional to 46,901.44 and 102,560.88 is: 224,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,901.44 : 102,560.88 = 102,560.88 : x
  2. Step 2: Convert to fraction form
    46,901.44/102,560.88 = 102,560.88/x
  3. Step 3: Cross multiply
    46,901.44x = 102,560.88 × 102,560.88
  4. Step 4: Simplify right side
    46,901.44x = 10,518,733,080.77
  5. Step 5: Solve for x
    x = 10,518,733,080.77/46,901.44
  6. Step 6: Final answer
    x = 224,273.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.