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Finding the Third Proportional to 91,785.66 and 163,683.28

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Solution

The third proportional to 91,785.66 and 163,683.28 is: 291,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,785.66 : 163,683.28 = 163,683.28 : x
  2. Step 2: Convert to fraction form
    91,785.66/163,683.28 = 163,683.28/x
  3. Step 3: Cross multiply
    91,785.66x = 163,683.28 × 163,683.28
  4. Step 4: Simplify right side
    91,785.66x = 26,792,216,560.77
  5. Step 5: Solve for x
    x = 26,792,216,560.77/91,785.66
  6. Step 6: Final answer
    x = 291,899.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.