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Finding the Third Proportional to 208,278,256.50 and 447,901,690.50

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Solution

The third proportional to 208,278,256.50 and 447,901,690.50 is: 963,211,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,278,256.50 : 447,901,690.50 = 447,901,690.50 : x
  2. Step 2: Convert to fraction form
    208,278,256.50/447,901,690.50 = 447,901,690.50/x
  3. Step 3: Cross multiply
    208,278,256.50x = 447,901,690.50 × 447,901,690.50
  4. Step 4: Simplify right side
    208,278,256.50x = 200,615,924,352,757,792
  5. Step 5: Solve for x
    x = 200,615,924,352,757,792/208,278,256.50
  6. Step 6: Final answer
    x = 963,211,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.