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Finding the Third Proportional to 72,096,238 and 111,706,575

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Solution

The third proportional to 72,096,238 and 111,706,575 is: 173,079,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,096,238 : 111,706,575 = 111,706,575 : x
  2. Step 2: Convert to fraction form
    72,096,238/111,706,575 = 111,706,575/x
  3. Step 3: Cross multiply
    72,096,238x = 111,706,575 × 111,706,575
  4. Step 4: Simplify right side
    72,096,238x = 12,478,358,898,230,624
  5. Step 5: Solve for x
    x = 12,478,358,898,230,624/72,096,238
  6. Step 6: Final answer
    x = 173,079,195.87

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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.