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Finding the Third Proportional to 181,932,567 and 297,048,037.50

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Solution

The third proportional to 181,932,567 and 297,048,037.50 is: 485,001,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,932,567 : 297,048,037.50 = 297,048,037.50 : x
  2. Step 2: Convert to fraction form
    181,932,567/297,048,037.50 = 297,048,037.50/x
  3. Step 3: Cross multiply
    181,932,567x = 297,048,037.50 × 297,048,037.50
  4. Step 4: Simplify right side
    181,932,567x = 88,237,536,582,601,408
  5. Step 5: Solve for x
    x = 88,237,536,582,601,408/181,932,567
  6. Step 6: Final answer
    x = 485,001,327.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.