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Finding the Third Proportional to 97,070.91 and 207,638.44

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Solution

The third proportional to 97,070.91 and 207,638.44 is: 444,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070.91 : 207,638.44 = 207,638.44 : x
  2. Step 2: Convert to fraction form
    97,070.91/207,638.44 = 207,638.44/x
  3. Step 3: Cross multiply
    97,070.91x = 207,638.44 × 207,638.44
  4. Step 4: Simplify right side
    97,070.91x = 43,113,720,727.44
  5. Step 5: Solve for x
    x = 43,113,720,727.44/97,070.91
  6. Step 6: Final answer
    x = 444,146.68

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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.