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Finding the Third Proportional to 191,404,255.50 and 296,948,245.50

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Solution

The third proportional to 191,404,255.50 and 296,948,245.50 is: 460,691,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,255.50 : 296,948,245.50 = 296,948,245.50 : x
  2. Step 2: Convert to fraction form
    191,404,255.50/296,948,245.50 = 296,948,245.50/x
  3. Step 3: Cross multiply
    191,404,255.50x = 296,948,245.50 × 296,948,245.50
  4. Step 4: Simplify right side
    191,404,255.50x = 88,178,260,505,528,272
  5. Step 5: Solve for x
    x = 88,178,260,505,528,272/191,404,255.50
  6. Step 6: Final answer
    x = 460,691,222.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.