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Finding the Third Proportional to 272,749,073.50 and 415,933,313

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Solution

The third proportional to 272,749,073.50 and 415,933,313 is: 634,284,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,749,073.50 : 415,933,313 = 415,933,313 : x
  2. Step 2: Convert to fraction form
    272,749,073.50/415,933,313 = 415,933,313/x
  3. Step 3: Cross multiply
    272,749,073.50x = 415,933,313 × 415,933,313
  4. Step 4: Simplify right side
    272,749,073.50x = 173,000,520,863,155,968
  5. Step 5: Solve for x
    x = 173,000,520,863,155,968/272,749,073.50
  6. Step 6: Final answer
    x = 634,284,540.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.