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Finding the Third Proportional to 46,733.63 and 101,355.19

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Solution

The third proportional to 46,733.63 and 101,355.19 is: 219,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,733.63 : 101,355.19 = 101,355.19 : x
  2. Step 2: Convert to fraction form
    46,733.63/101,355.19 = 101,355.19/x
  3. Step 3: Cross multiply
    46,733.63x = 101,355.19 × 101,355.19
  4. Step 4: Simplify right side
    46,733.63x = 10,272,874,033.16
  5. Step 5: Solve for x
    x = 10,272,874,033.16/46,733.63
  6. Step 6: Final answer
    x = 219,817.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.