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Finding the Third Proportional to 151,487,600 and 327,188,944

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Solution

The third proportional to 151,487,600 and 327,188,944 is: 706,675,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,487,600 : 327,188,944 = 327,188,944 : x
  2. Step 2: Convert to fraction form
    151,487,600/327,188,944 = 327,188,944/x
  3. Step 3: Cross multiply
    151,487,600x = 327,188,944 × 327,188,944
  4. Step 4: Simplify right side
    151,487,600x = 107,052,605,075,835,136
  5. Step 5: Solve for x
    x = 107,052,605,075,835,136/151,487,600
  6. Step 6: Final answer
    x = 706,675,695.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.