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Finding the Third Proportional to 97,070.06 and 198,844.03

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Solution

The third proportional to 97,070.06 and 198,844.03 is: 407,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070.06 : 198,844.03 = 198,844.03 : x
  2. Step 2: Convert to fraction form
    97,070.06/198,844.03 = 198,844.03/x
  3. Step 3: Cross multiply
    97,070.06x = 198,844.03 × 198,844.03
  4. Step 4: Simplify right side
    97,070.06x = 39,538,948,763.75
  5. Step 5: Solve for x
    x = 39,538,948,763.75/97,070.06
  6. Step 6: Final answer
    x = 407,323.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.