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Finding the Third Proportional to 46,895.63 and 102,685.78

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Solution

The third proportional to 46,895.63 and 102,685.78 is: 224,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,895.63 : 102,685.78 = 102,685.78 : x
  2. Step 2: Convert to fraction form
    46,895.63/102,685.78 = 102,685.78/x
  3. Step 3: Cross multiply
    46,895.63x = 102,685.78 × 102,685.78
  4. Step 4: Simplify right side
    46,895.63x = 10,544,369,670.92
  5. Step 5: Solve for x
    x = 10,544,369,670.92/46,895.63
  6. Step 6: Final answer
    x = 224,847.62

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Why These Related Problems?

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