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Finding the Third Proportional to 97,064.68 and 198,833.86

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Solution

The third proportional to 97,064.68 and 198,833.86 is: 407,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064.68 : 198,833.86 = 198,833.86 : x
  2. Step 2: Convert to fraction form
    97,064.68/198,833.86 = 198,833.86/x
  3. Step 3: Cross multiply
    97,064.68x = 198,833.86 × 198,833.86
  4. Step 4: Simplify right side
    97,064.68x = 39,534,903,925.22
  5. Step 5: Solve for x
    x = 39,534,903,925.22/97,064.68
  6. Step 6: Final answer
    x = 407,304.75

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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.