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Finding the Third Proportional to 76,724,745 and 164,393,226

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Solution

The third proportional to 76,724,745 and 164,393,226 is: 352,234,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,745 : 164,393,226 = 164,393,226 : x
  2. Step 2: Convert to fraction form
    76,724,745/164,393,226 = 164,393,226/x
  3. Step 3: Cross multiply
    76,724,745x = 164,393,226 × 164,393,226
  4. Step 4: Simplify right side
    76,724,745x = 27,025,132,754,687,076
  5. Step 5: Solve for x
    x = 27,025,132,754,687,076/76,724,745
  6. Step 6: Final answer
    x = 352,234,898.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.