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Finding the Third Proportional to 181,608,064 and 398,536,448

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Solution

The third proportional to 181,608,064 and 398,536,448 is: 874,582,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,608,064 : 398,536,448 = 398,536,448 : x
  2. Step 2: Convert to fraction form
    181,608,064/398,536,448 = 398,536,448/x
  3. Step 3: Cross multiply
    181,608,064x = 398,536,448 × 398,536,448
  4. Step 4: Simplify right side
    181,608,064x = 158,831,300,384,456,704
  5. Step 5: Solve for x
    x = 158,831,300,384,456,704/181,608,064
  6. Step 6: Final answer
    x = 874,582,862.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.