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Finding the Third Proportional to 120,945,064 and 186,151,056

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Solution

The third proportional to 120,945,064 and 186,151,056 is: 286,512,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,945,064 : 186,151,056 = 186,151,056 : x
  2. Step 2: Convert to fraction form
    120,945,064/186,151,056 = 186,151,056/x
  3. Step 3: Cross multiply
    120,945,064x = 186,151,056 × 186,151,056
  4. Step 4: Simplify right side
    120,945,064x = 34,652,215,649,915,136
  5. Step 5: Solve for x
    x = 34,652,215,649,915,136/120,945,064
  6. Step 6: Final answer
    x = 286,512,028.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.