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Finding the Third Proportional to 65,638.69 and 101,833.03

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Solution

The third proportional to 65,638.69 and 101,833.03 is: 157,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,638.69 : 101,833.03 = 101,833.03 : x
  2. Step 2: Convert to fraction form
    65,638.69/101,833.03 = 101,833.03/x
  3. Step 3: Cross multiply
    65,638.69x = 101,833.03 × 101,833.03
  4. Step 4: Simplify right side
    65,638.69x = 10,369,966,253.56
  5. Step 5: Solve for x
    x = 10,369,966,253.56/65,638.69
  6. Step 6: Final answer
    x = 157,985.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.