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Finding the Third Proportional to 47,407 and 102,405.75

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Solution

The third proportional to 47,407 and 102,405.75 is: 221,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407 : 102,405.75 = 102,405.75 : x
  2. Step 2: Convert to fraction form
    47,407/102,405.75 = 102,405.75/x
  3. Step 3: Cross multiply
    47,407x = 102,405.75 × 102,405.75
  4. Step 4: Simplify right side
    47,407x = 10,486,937,633.06
  5. Step 5: Solve for x
    x = 10,486,937,633.06/47,407
  6. Step 6: Final answer
    x = 221,210.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.