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Finding the Third Proportional to 156,729,232 and 365,989,142

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Solution

The third proportional to 156,729,232 and 365,989,142 is: 854,646,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,232 : 365,989,142 = 365,989,142 : x
  2. Step 2: Convert to fraction form
    156,729,232/365,989,142 = 365,989,142/x
  3. Step 3: Cross multiply
    156,729,232x = 365,989,142 × 365,989,142
  4. Step 4: Simplify right side
    156,729,232x = 133,948,052,061,896,160
  5. Step 5: Solve for x
    x = 133,948,052,061,896,160/156,729,232
  6. Step 6: Final answer
    x = 854,646,260.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.