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Finding the Third Proportional to 299,149,449 and 459,530,181

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Solution

The third proportional to 299,149,449 and 459,530,181 is: 705,894,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,449 : 459,530,181 = 459,530,181 : x
  2. Step 2: Convert to fraction form
    299,149,449/459,530,181 = 459,530,181/x
  3. Step 3: Cross multiply
    299,149,449x = 459,530,181 × 459,530,181
  4. Step 4: Simplify right side
    299,149,449x = 211,167,987,249,892,768
  5. Step 5: Solve for x
    x = 211,167,987,249,892,768/299,149,449
  6. Step 6: Final answer
    x = 705,894,622.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.