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Finding the Third Proportional to 205,224,340 and 318,041,222.50

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Solution

The third proportional to 205,224,340 and 318,041,222.50 is: 492,876,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224,340 : 318,041,222.50 = 318,041,222.50 : x
  2. Step 2: Convert to fraction form
    205,224,340/318,041,222.50 = 318,041,222.50/x
  3. Step 3: Cross multiply
    205,224,340x = 318,041,222.50 × 318,041,222.50
  4. Step 4: Simplify right side
    205,224,340x = 101,150,219,209,294,512
  5. Step 5: Solve for x
    x = 101,150,219,209,294,512/205,224,340
  6. Step 6: Final answer
    x = 492,876,328.46

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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.