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Finding the Third Proportional to 191,170,242.94 and 295,200,310.97

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Solution

The third proportional to 191,170,242.94 and 295,200,310.97 is: 455,840,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,170,242.94 : 295,200,310.97 = 295,200,310.97 : x
  2. Step 2: Convert to fraction form
    191,170,242.94/295,200,310.97 = 295,200,310.97/x
  3. Step 3: Cross multiply
    191,170,242.94x = 295,200,310.97 × 295,200,310.97
  4. Step 4: Simplify right side
    191,170,242.94x = 87,143,223,596,046,704
  5. Step 5: Solve for x
    x = 87,143,223,596,046,704/191,170,242.94
  6. Step 6: Final answer
    x = 455,840,941.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.