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Finding the Third Proportional to 179,365,798 and 256,493,396.75

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Solution

The third proportional to 179,365,798 and 256,493,396.75 is: 366,785,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,365,798 : 256,493,396.75 = 256,493,396.75 : x
  2. Step 2: Convert to fraction form
    179,365,798/256,493,396.75 = 256,493,396.75/x
  3. Step 3: Cross multiply
    179,365,798x = 256,493,396.75 × 256,493,396.75
  4. Step 4: Simplify right side
    179,365,798x = 65,788,862,576,352,912
  5. Step 5: Solve for x
    x = 65,788,862,576,352,912/179,365,798
  6. Step 6: Final answer
    x = 366,785,994.38

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.