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Finding the Third Proportional to 72,120,042 and 146,786,719.50

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Solution

The third proportional to 72,120,042 and 146,786,719.50 is: 298,756,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,120,042 : 146,786,719.50 = 146,786,719.50 : x
  2. Step 2: Convert to fraction form
    72,120,042/146,786,719.50 = 146,786,719.50/x
  3. Step 3: Cross multiply
    72,120,042x = 146,786,719.50 × 146,786,719.50
  4. Step 4: Simplify right side
    72,120,042x = 21,546,341,021,571,680
  5. Step 5: Solve for x
    x = 21,546,341,021,571,680/72,120,042
  6. Step 6: Final answer
    x = 298,756,634.41

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.