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Finding the Third Proportional to 181,608,066 and 398,536,452

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Solution

The third proportional to 181,608,066 and 398,536,452 is: 874,582,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,608,066 : 398,536,452 = 398,536,452 : x
  2. Step 2: Convert to fraction form
    181,608,066/398,536,452 = 398,536,452/x
  3. Step 3: Cross multiply
    181,608,066x = 398,536,452 × 398,536,452
  4. Step 4: Simplify right side
    181,608,066x = 158,831,303,572,748,288
  5. Step 5: Solve for x
    x = 158,831,303,572,748,288/181,608,066
  6. Step 6: Final answer
    x = 874,582,869.97

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Why These Related Problems?

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