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Finding the Third Proportional to 192,253,992 and 297,880,465.50

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Solution

The third proportional to 192,253,992 and 297,880,465.50 is: 461,539,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,253,992 : 297,880,465.50 = 297,880,465.50 : x
  2. Step 2: Convert to fraction form
    192,253,992/297,880,465.50 = 297,880,465.50/x
  3. Step 3: Cross multiply
    192,253,992x = 297,880,465.50 × 297,880,465.50
  4. Step 4: Simplify right side
    192,253,992x = 88,732,771,726,496,688
  5. Step 5: Solve for x
    x = 88,732,771,726,496,688/192,253,992
  6. Step 6: Final answer
    x = 461,539,293.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.