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Finding the Third Proportional to 299,149,470 and 459,530,214

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Solution

The third proportional to 299,149,470 and 459,530,214 is: 705,894,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,470 : 459,530,214 = 459,530,214 : x
  2. Step 2: Convert to fraction form
    299,149,470/459,530,214 = 459,530,214/x
  3. Step 3: Cross multiply
    299,149,470x = 459,530,214 × 459,530,214
  4. Step 4: Simplify right side
    299,149,470x = 211,168,017,578,885,792
  5. Step 5: Solve for x
    x = 211,168,017,578,885,792/299,149,470
  6. Step 6: Final answer
    x = 705,894,673.92

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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.