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Finding the Third Proportional to 181,932,568.50 and 297,048,039.75

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Solution

The third proportional to 181,932,568.50 and 297,048,039.75 is: 485,001,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,932,568.50 : 297,048,039.75 = 297,048,039.75 : x
  2. Step 2: Convert to fraction form
    181,932,568.50/297,048,039.75 = 297,048,039.75/x
  3. Step 3: Cross multiply
    181,932,568.50x = 297,048,039.75 × 297,048,039.75
  4. Step 4: Simplify right side
    181,932,568.50x = 88,237,537,919,317,584
  5. Step 5: Solve for x
    x = 88,237,537,919,317,584/181,932,568.50
  6. Step 6: Final answer
    x = 485,001,331.24

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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.