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Finding the Third Proportional to 46,948.22 and 101,413.69

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Solution

The third proportional to 46,948.22 and 101,413.69 is: 219,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948.22 : 101,413.69 = 101,413.69 : x
  2. Step 2: Convert to fraction form
    46,948.22/101,413.69 = 101,413.69/x
  3. Step 3: Cross multiply
    46,948.22x = 101,413.69 × 101,413.69
  4. Step 4: Simplify right side
    46,948.22x = 10,284,736,012.35
  5. Step 5: Solve for x
    x = 10,284,736,012.35/46,948.22
  6. Step 6: Final answer
    x = 219,065.52

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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.