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Finding the Third Proportional to 45,031.78 and 97,021.97

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Solution

The third proportional to 45,031.78 and 97,021.97 is: 209,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,031.78 : 97,021.97 = 97,021.97 : x
  2. Step 2: Convert to fraction form
    45,031.78/97,021.97 = 97,021.97/x
  3. Step 3: Cross multiply
    45,031.78x = 97,021.97 × 97,021.97
  4. Step 4: Simplify right side
    45,031.78x = 9,413,262,420.13
  5. Step 5: Solve for x
    x = 9,413,262,420.13/45,031.78
  6. Step 6: Final answer
    x = 209,035.98

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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.