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Finding the Third Proportional to 205,224,350 and 318,041,237

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Solution

The third proportional to 205,224,350 and 318,041,237 is: 492,876,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224,350 : 318,041,237 = 318,041,237 : x
  2. Step 2: Convert to fraction form
    205,224,350/318,041,237 = 318,041,237/x
  3. Step 3: Cross multiply
    205,224,350x = 318,041,237 × 318,041,237
  4. Step 4: Simplify right side
    205,224,350x = 101,150,228,432,490,176
  5. Step 5: Solve for x
    x = 101,150,228,432,490,176/205,224,350
  6. Step 6: Final answer
    x = 492,876,349.38

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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.