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Finding the Third Proportional to 97,089.19 and 207,671.06

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Solution

The third proportional to 97,089.19 and 207,671.06 is: 444,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,089.19 : 207,671.06 = 207,671.06 : x
  2. Step 2: Convert to fraction form
    97,089.19/207,671.06 = 207,671.06/x
  3. Step 3: Cross multiply
    97,089.19x = 207,671.06 × 207,671.06
  4. Step 4: Simplify right side
    97,089.19x = 43,127,270,199.88
  5. Step 5: Solve for x
    x = 43,127,270,199.88/97,089.19
  6. Step 6: Final answer
    x = 444,202.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.