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Finding the Third Proportional to 193,905,823.50 and 414,685,503

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Solution

The third proportional to 193,905,823.50 and 414,685,503 is: 886,843,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,905,823.50 : 414,685,503 = 414,685,503 : x
  2. Step 2: Convert to fraction form
    193,905,823.50/414,685,503 = 414,685,503/x
  3. Step 3: Cross multiply
    193,905,823.50x = 414,685,503 × 414,685,503
  4. Step 4: Simplify right side
    193,905,823.50x = 171,964,066,398,363,008
  5. Step 5: Solve for x
    x = 171,964,066,398,363,008/193,905,823.50
  6. Step 6: Final answer
    x = 886,843,227.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.