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Finding the Third Proportional to 97,981.69 and 143,191.22

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Solution

The third proportional to 97,981.69 and 143,191.22 is: 209,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,981.69 : 143,191.22 = 143,191.22 : x
  2. Step 2: Convert to fraction form
    97,981.69/143,191.22 = 143,191.22/x
  3. Step 3: Cross multiply
    97,981.69x = 143,191.22 × 143,191.22
  4. Step 4: Simplify right side
    97,981.69x = 20,503,725,127.11
  5. Step 5: Solve for x
    x = 20,503,725,127.11/97,981.69
  6. Step 6: Final answer
    x = 209,260.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.