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Finding the Third Proportional to 212,447,601.50 and 457,180,239

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Solution

The third proportional to 212,447,601.50 and 457,180,239 is: 983,836,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,447,601.50 : 457,180,239 = 457,180,239 : x
  2. Step 2: Convert to fraction form
    212,447,601.50/457,180,239 = 457,180,239/x
  3. Step 3: Cross multiply
    212,447,601.50x = 457,180,239 × 457,180,239
  4. Step 4: Simplify right side
    212,447,601.50x = 209,013,770,932,097,120
  5. Step 5: Solve for x
    x = 209,013,770,932,097,120/212,447,601.50
  6. Step 6: Final answer
    x = 983,836,811.79

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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.