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Finding the Third Proportional to 174,487,468.50 and 367,025,625

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Solution

The third proportional to 174,487,468.50 and 367,025,625 is: 772,019,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,487,468.50 : 367,025,625 = 367,025,625 : x
  2. Step 2: Convert to fraction form
    174,487,468.50/367,025,625 = 367,025,625/x
  3. Step 3: Cross multiply
    174,487,468.50x = 367,025,625 × 367,025,625
  4. Step 4: Simplify right side
    174,487,468.50x = 134,707,809,406,640,624
  5. Step 5: Solve for x
    x = 134,707,809,406,640,624/174,487,468.50
  6. Step 6: Final answer
    x = 772,019,965.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.