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Finding the Third Proportional to 46,904.63 and 95,719.50

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Solution

The third proportional to 46,904.63 and 95,719.50 is: 195,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,904.63 : 95,719.50 = 95,719.50 : x
  2. Step 2: Convert to fraction form
    46,904.63/95,719.50 = 95,719.50/x
  3. Step 3: Cross multiply
    46,904.63x = 95,719.50 × 95,719.50
  4. Step 4: Simplify right side
    46,904.63x = 9,162,222,680.25
  5. Step 5: Solve for x
    x = 9,162,222,680.25/46,904.63
  6. Step 6: Final answer
    x = 195,337.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.