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Finding the Third Proportional to 46,212.19 and 71,277.47

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Solution

The third proportional to 46,212.19 and 71,277.47 is: 109,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212.19 : 71,277.47 = 71,277.47 : x
  2. Step 2: Convert to fraction form
    46,212.19/71,277.47 = 71,277.47/x
  3. Step 3: Cross multiply
    46,212.19x = 71,277.47 × 71,277.47
  4. Step 4: Simplify right side
    46,212.19x = 5,080,477,551.41
  5. Step 5: Solve for x
    x = 5,080,477,551.41/46,212.19
  6. Step 6: Final answer
    x = 109,938.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.