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Finding the Third Proportional to 97,822.69 and 131,030.16

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Solution

The third proportional to 97,822.69 and 131,030.16 is: 175,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,822.69 : 131,030.16 = 131,030.16 : x
  2. Step 2: Convert to fraction form
    97,822.69/131,030.16 = 131,030.16/x
  3. Step 3: Cross multiply
    97,822.69x = 131,030.16 × 131,030.16
  4. Step 4: Simplify right side
    97,822.69x = 17,168,901,846.90
  5. Step 5: Solve for x
    x = 17,168,901,846.90/97,822.69
  6. Step 6: Final answer
    x = 175,510.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.