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Finding the Third Proportional to 146,765,276 and 319,356,844

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Solution

The third proportional to 146,765,276 and 319,356,844 is: 694,910,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,765,276 : 319,356,844 = 319,356,844 : x
  2. Step 2: Convert to fraction form
    146,765,276/319,356,844 = 319,356,844/x
  3. Step 3: Cross multiply
    146,765,276x = 319,356,844 × 319,356,844
  4. Step 4: Simplify right side
    146,765,276x = 101,988,793,809,640,336
  5. Step 5: Solve for x
    x = 101,988,793,809,640,336/146,765,276
  6. Step 6: Final answer
    x = 694,910,925.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.