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Finding the Third Proportional to 193,809,753 and 297,899,230.50

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Solution

The third proportional to 193,809,753 and 297,899,230.50 is: 457,892,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,809,753 : 297,899,230.50 = 297,899,230.50 : x
  2. Step 2: Convert to fraction form
    193,809,753/297,899,230.50 = 297,899,230.50/x
  3. Step 3: Cross multiply
    193,809,753x = 297,899,230.50 × 297,899,230.50
  4. Step 4: Simplify right side
    193,809,753x = 88,743,951,532,492,128
  5. Step 5: Solve for x
    x = 88,743,951,532,492,128/193,809,753
  6. Step 6: Final answer
    x = 457,892,083.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.