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Finding the Third Proportional to 205,224,341 and 318,041,224

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Solution

The third proportional to 205,224,341 and 318,041,224 is: 492,876,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224,341 : 318,041,224 = 318,041,224 : x
  2. Step 2: Convert to fraction form
    205,224,341/318,041,224 = 318,041,224/x
  3. Step 3: Cross multiply
    205,224,341x = 318,041,224 × 318,041,224
  4. Step 4: Simplify right side
    205,224,341x = 101,150,220,163,418,176
  5. Step 5: Solve for x
    x = 101,150,220,163,418,176/205,224,341
  6. Step 6: Final answer
    x = 492,876,330.70

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