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Finding the Third Proportional to 99,661.50 and 218,010

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Solution

The third proportional to 99,661.50 and 218,010 is: 476,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,661.50 : 218,010 = 218,010 : x
  2. Step 2: Convert to fraction form
    99,661.50/218,010 = 218,010/x
  3. Step 3: Cross multiply
    99,661.50x = 218,010 × 218,010
  4. Step 4: Simplify right side
    99,661.50x = 47,528,360,100
  5. Step 5: Solve for x
    x = 47,528,360,100/99,661.50
  6. Step 6: Final answer
    x = 476,897.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.