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Finding the Third Proportional to 161,741,944.50 and 354,271,893.75

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Solution

The third proportional to 161,741,944.50 and 354,271,893.75 is: 775,980,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,741,944.50 : 354,271,893.75 = 354,271,893.75 : x
  2. Step 2: Convert to fraction form
    161,741,944.50/354,271,893.75 = 354,271,893.75/x
  3. Step 3: Cross multiply
    161,741,944.50x = 354,271,893.75 × 354,271,893.75
  4. Step 4: Simplify right side
    161,741,944.50x = 125,508,574,701,211,296
  5. Step 5: Solve for x
    x = 125,508,574,701,211,296/161,741,944.50
  6. Step 6: Final answer
    x = 775,980,374.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.