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Finding the Third Proportional to 299,149,454.25 and 459,530,188.88

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Solution

The third proportional to 299,149,454.25 and 459,530,188.88 is: 705,894,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,454.25 : 459,530,188.88 = 459,530,188.88 : x
  2. Step 2: Convert to fraction form
    299,149,454.25/459,530,188.88 = 459,530,188.88/x
  3. Step 3: Cross multiply
    299,149,454.25x = 459,530,188.88 × 459,530,188.88
  4. Step 4: Simplify right side
    299,149,454.25x = 211,167,994,487,493,184
  5. Step 5: Solve for x
    x = 211,167,994,487,493,184/299,149,454.25
  6. Step 6: Final answer
    x = 705,894,633.89

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Why These Related Problems?

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