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Finding the Third Proportional to 46,510.88 and 101,317.50

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Solution

The third proportional to 46,510.88 and 101,317.50 is: 220,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.88 : 101,317.50 = 101,317.50 : x
  2. Step 2: Convert to fraction form
    46,510.88/101,317.50 = 101,317.50/x
  3. Step 3: Cross multiply
    46,510.88x = 101,317.50 × 101,317.50
  4. Step 4: Simplify right side
    46,510.88x = 10,265,235,806.25
  5. Step 5: Solve for x
    x = 10,265,235,806.25/46,510.88
  6. Step 6: Final answer
    x = 220,706.14

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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.