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Finding the Third Proportional to 205,224,342 and 318,041,226

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Solution

The third proportional to 205,224,342 and 318,041,226 is: 492,876,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224,342 : 318,041,226 = 318,041,226 : x
  2. Step 2: Convert to fraction form
    205,224,342/318,041,226 = 318,041,226/x
  3. Step 3: Cross multiply
    205,224,342x = 318,041,226 × 318,041,226
  4. Step 4: Simplify right side
    205,224,342x = 101,150,221,435,583,072
  5. Step 5: Solve for x
    x = 101,150,221,435,583,072/205,224,342
  6. Step 6: Final answer
    x = 492,876,334.50

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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.