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Finding the Third Proportional to 277,593,920.50 and 431,216,215

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Solution

The third proportional to 277,593,920.50 and 431,216,215 is: 669,854,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,593,920.50 : 431,216,215 = 431,216,215 : x
  2. Step 2: Convert to fraction form
    277,593,920.50/431,216,215 = 431,216,215/x
  3. Step 3: Cross multiply
    277,593,920.50x = 431,216,215 × 431,216,215
  4. Step 4: Simplify right side
    277,593,920.50x = 185,947,424,078,926,240
  5. Step 5: Solve for x
    x = 185,947,424,078,926,240/277,593,920.50
  6. Step 6: Final answer
    x = 669,854,093.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.