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Finding the Third Proportional to 76,724,739 and 164,393,214

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Solution

The third proportional to 76,724,739 and 164,393,214 is: 352,234,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,739 : 164,393,214 = 164,393,214 : x
  2. Step 2: Convert to fraction form
    76,724,739/164,393,214 = 164,393,214/x
  3. Step 3: Cross multiply
    76,724,739x = 164,393,214 × 164,393,214
  4. Step 4: Simplify right side
    76,724,739x = 27,025,128,809,249,796
  5. Step 5: Solve for x
    x = 27,025,128,809,249,796/76,724,739
  6. Step 6: Final answer
    x = 352,234,874.45

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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.