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Finding the Third Proportional to 91,831.13 and 141,902.63

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Solution

The third proportional to 91,831.13 and 141,902.63 is: 219,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,831.13 : 141,902.63 = 141,902.63 : x
  2. Step 2: Convert to fraction form
    91,831.13/141,902.63 = 141,902.63/x
  3. Step 3: Cross multiply
    91,831.13x = 141,902.63 × 141,902.63
  4. Step 4: Simplify right side
    91,831.13x = 20,136,354,981.89
  5. Step 5: Solve for x
    x = 20,136,354,981.89/91,831.13
  6. Step 6: Final answer
    x = 219,275.93

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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.