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Finding the Third Proportional to 96,391.27 and 141,293.11

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Solution

The third proportional to 96,391.27 and 141,293.11 is: 207,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,391.27 : 141,293.11 = 141,293.11 : x
  2. Step 2: Convert to fraction form
    96,391.27/141,293.11 = 141,293.11/x
  3. Step 3: Cross multiply
    96,391.27x = 141,293.11 × 141,293.11
  4. Step 4: Simplify right side
    96,391.27x = 19,963,742,756.86
  5. Step 5: Solve for x
    x = 19,963,742,756.86/96,391.27
  6. Step 6: Final answer
    x = 207,111.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.