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Finding the Third Proportional to 97,430.06 and 209,363.06

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Solution

The third proportional to 97,430.06 and 209,363.06 is: 449,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,430.06 : 209,363.06 = 209,363.06 : x
  2. Step 2: Convert to fraction form
    97,430.06/209,363.06 = 209,363.06/x
  3. Step 3: Cross multiply
    97,430.06x = 209,363.06 × 209,363.06
  4. Step 4: Simplify right side
    97,430.06x = 43,832,891,939.38
  5. Step 5: Solve for x
    x = 43,832,891,939.38/97,430.06
  6. Step 6: Final answer
    x = 449,890.83

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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.