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Finding the Third Proportional to 84,174,393 and 180,880,296

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Solution

The third proportional to 84,174,393 and 180,880,296 is: 388,689,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174,393 : 180,880,296 = 180,880,296 : x
  2. Step 2: Convert to fraction form
    84,174,393/180,880,296 = 180,880,296/x
  3. Step 3: Cross multiply
    84,174,393x = 180,880,296 × 180,880,296
  4. Step 4: Simplify right side
    84,174,393x = 32,717,681,481,047,616
  5. Step 5: Solve for x
    x = 32,717,681,481,047,616/84,174,393
  6. Step 6: Final answer
    x = 388,689,247.58

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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.