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Finding the Third Proportional to 76,724,747 and 164,393,230

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Solution

The third proportional to 76,724,747 and 164,393,230 is: 352,234,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,747 : 164,393,230 = 164,393,230 : x
  2. Step 2: Convert to fraction form
    76,724,747/164,393,230 = 164,393,230/x
  3. Step 3: Cross multiply
    76,724,747x = 164,393,230 × 164,393,230
  4. Step 4: Simplify right side
    76,724,747x = 27,025,134,069,832,900
  5. Step 5: Solve for x
    x = 27,025,134,069,832,900/76,724,747
  6. Step 6: Final answer
    x = 352,234,906.29

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