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Finding the Third Proportional to 134,055,966 and 289,274,064

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Solution

The third proportional to 134,055,966 and 289,274,064 is: 624,213,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,055,966 : 289,274,064 = 289,274,064 : x
  2. Step 2: Convert to fraction form
    134,055,966/289,274,064 = 289,274,064/x
  3. Step 3: Cross multiply
    134,055,966x = 289,274,064 × 289,274,064
  4. Step 4: Simplify right side
    134,055,966x = 83,679,484,103,076,096
  5. Step 5: Solve for x
    x = 83,679,484,103,076,096/134,055,966
  6. Step 6: Final answer
    x = 624,213,055.19

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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.