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Finding the Third Proportional to 97,389.84 and 209,781.14

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Solution

The third proportional to 97,389.84 and 209,781.14 is: 451,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,389.84 : 209,781.14 = 209,781.14 : x
  2. Step 2: Convert to fraction form
    97,389.84/209,781.14 = 209,781.14/x
  3. Step 3: Cross multiply
    97,389.84x = 209,781.14 × 209,781.14
  4. Step 4: Simplify right side
    97,389.84x = 44,008,126,961.93
  5. Step 5: Solve for x
    x = 44,008,126,961.93/97,389.84
  6. Step 6: Final answer
    x = 451,875.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.