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Finding the Third Proportional to 230,160,096 and 492,967,728

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Solution

The third proportional to 230,160,096 and 492,967,728 is: 1,055,861,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160,096 : 492,967,728 = 492,967,728 : x
  2. Step 2: Convert to fraction form
    230,160,096/492,967,728 = 492,967,728/x
  3. Step 3: Cross multiply
    230,160,096x = 492,967,728 × 492,967,728
  4. Step 4: Simplify right side
    230,160,096x = 243,017,180,849,481,984
  5. Step 5: Solve for x
    x = 243,017,180,849,481,984/230,160,096
  6. Step 6: Final answer
    x = 1,055,861,485.43

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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.