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Finding the Third Proportional to 70,333,472 and 148,224,064

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Solution

The third proportional to 70,333,472 and 148,224,064 is: 312,374,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,333,472 : 148,224,064 = 148,224,064 : x
  2. Step 2: Convert to fraction form
    70,333,472/148,224,064 = 148,224,064/x
  3. Step 3: Cross multiply
    70,333,472x = 148,224,064 × 148,224,064
  4. Step 4: Simplify right side
    70,333,472x = 21,970,373,148,676,096
  5. Step 5: Solve for x
    x = 21,970,373,148,676,096/70,333,472
  6. Step 6: Final answer
    x = 312,374,357.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.