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Finding the Third Proportional to 46,381.50 and 101,095.31

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Solution

The third proportional to 46,381.50 and 101,095.31 is: 220,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381.50 : 101,095.31 = 101,095.31 : x
  2. Step 2: Convert to fraction form
    46,381.50/101,095.31 = 101,095.31/x
  3. Step 3: Cross multiply
    46,381.50x = 101,095.31 × 101,095.31
  4. Step 4: Simplify right side
    46,381.50x = 10,220,262,209.47
  5. Step 5: Solve for x
    x = 10,220,262,209.47/46,381.50
  6. Step 6: Final answer
    x = 220,352.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.