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Finding the Third Proportional to 127,664,064 and 202,183,965

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Solution

The third proportional to 127,664,064 and 202,183,965 is: 320,202,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,664,064 : 202,183,965 = 202,183,965 : x
  2. Step 2: Convert to fraction form
    127,664,064/202,183,965 = 202,183,965/x
  3. Step 3: Cross multiply
    127,664,064x = 202,183,965 × 202,183,965
  4. Step 4: Simplify right side
    127,664,064x = 40,878,355,703,121,224
  5. Step 5: Solve for x
    x = 40,878,355,703,121,224/127,664,064
  6. Step 6: Final answer
    x = 320,202,525.46

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.