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Finding the Third Proportional to 99,702.14 and 218,783.53

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Solution

The third proportional to 99,702.14 and 218,783.53 is: 480,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702.14 : 218,783.53 = 218,783.53 : x
  2. Step 2: Convert to fraction form
    99,702.14/218,783.53 = 218,783.53/x
  3. Step 3: Cross multiply
    99,702.14x = 218,783.53 × 218,783.53
  4. Step 4: Simplify right side
    99,702.14x = 47,866,233,546.22
  5. Step 5: Solve for x
    x = 47,866,233,546.22/99,702.14
  6. Step 6: Final answer
    x = 480,092.34

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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.