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Finding the Third Proportional to 96,715.69 and 147,935.53

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Solution

The third proportional to 96,715.69 and 147,935.53 is: 226,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,715.69 : 147,935.53 = 147,935.53 : x
  2. Step 2: Convert to fraction form
    96,715.69/147,935.53 = 147,935.53/x
  3. Step 3: Cross multiply
    96,715.69x = 147,935.53 × 147,935.53
  4. Step 4: Simplify right side
    96,715.69x = 21,884,921,406.22
  5. Step 5: Solve for x
    x = 21,884,921,406.22/96,715.69
  6. Step 6: Final answer
    x = 226,280.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.