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Finding the Third Proportional to 96,938.16 and 213,010.03

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Solution

The third proportional to 96,938.16 and 213,010.03 is: 468,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,938.16 : 213,010.03 = 213,010.03 : x
  2. Step 2: Convert to fraction form
    96,938.16/213,010.03 = 213,010.03/x
  3. Step 3: Cross multiply
    96,938.16x = 213,010.03 × 213,010.03
  4. Step 4: Simplify right side
    96,938.16x = 45,373,273,413.13
  5. Step 5: Solve for x
    x = 45,373,273,413.13/96,938.16
  6. Step 6: Final answer
    x = 468,064.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.