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Finding the Third Proportional to 208,278,534.94 and 447,902,186.63

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Solution

The third proportional to 208,278,534.94 and 447,902,186.63 is: 963,211,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,278,534.94 : 447,902,186.63 = 447,902,186.63 : x
  2. Step 2: Convert to fraction form
    208,278,534.94/447,902,186.63 = 447,902,186.63/x
  3. Step 3: Cross multiply
    208,278,534.94x = 447,902,186.63 × 447,902,186.63
  4. Step 4: Simplify right side
    208,278,534.94x = 200,616,368,783,456,320
  5. Step 5: Solve for x
    x = 200,616,368,783,456,320/208,278,534.94
  6. Step 6: Final answer
    x = 963,211,926.01

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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.