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Finding the Third Proportional to 176,980,352 and 368,087,296

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Solution

The third proportional to 176,980,352 and 368,087,296 is: 765,555,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,980,352 : 368,087,296 = 368,087,296 : x
  2. Step 2: Convert to fraction form
    176,980,352/368,087,296 = 368,087,296/x
  3. Step 3: Cross multiply
    176,980,352x = 368,087,296 × 368,087,296
  4. Step 4: Simplify right side
    176,980,352x = 135,488,257,476,591,616
  5. Step 5: Solve for x
    x = 135,488,257,476,591,616/176,980,352
  6. Step 6: Final answer
    x = 765,555,362.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.