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Finding the Third Proportional to 299,149,463 and 459,530,202

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Solution

The third proportional to 299,149,463 and 459,530,202 is: 705,894,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,463 : 459,530,202 = 459,530,202 : x
  2. Step 2: Convert to fraction form
    299,149,463/459,530,202 = 459,530,202/x
  3. Step 3: Cross multiply
    299,149,463x = 459,530,202 × 459,530,202
  4. Step 4: Simplify right side
    299,149,463x = 211,168,006,550,160,800
  5. Step 5: Solve for x
    x = 211,168,006,550,160,800/299,149,463
  6. Step 6: Final answer
    x = 705,894,653.57

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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.