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Finding the Third Proportional to 91,831.41 and 141,902.91

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Solution

The third proportional to 91,831.41 and 141,902.91 is: 219,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,831.41 : 141,902.91 = 141,902.91 : x
  2. Step 2: Convert to fraction form
    91,831.41/141,902.91 = 141,902.91/x
  3. Step 3: Cross multiply
    91,831.41x = 141,902.91 × 141,902.91
  4. Step 4: Simplify right side
    91,831.41x = 20,136,434,802.20
  5. Step 5: Solve for x
    x = 20,136,434,802.20/91,831.41
  6. Step 6: Final answer
    x = 219,276.12

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Why These Related Problems?

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