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Finding the Third Proportional to 76,504,905 and 114,981,574.50

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Solution

The third proportional to 76,504,905 and 114,981,574.50 is: 172,809,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504,905 : 114,981,574.50 = 114,981,574.50 : x
  2. Step 2: Convert to fraction form
    76,504,905/114,981,574.50 = 114,981,574.50/x
  3. Step 3: Cross multiply
    76,504,905x = 114,981,574.50 × 114,981,574.50
  4. Step 4: Simplify right side
    76,504,905x = 13,220,762,474,499,050
  5. Step 5: Solve for x
    x = 13,220,762,474,499,050/76,504,905
  6. Step 6: Final answer
    x = 172,809,344.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.