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Finding the Third Proportional to 191,127,296 and 295,140,243

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Solution

The third proportional to 191,127,296 and 295,140,243 is: 455,757,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,127,296 : 295,140,243 = 295,140,243 : x
  2. Step 2: Convert to fraction form
    191,127,296/295,140,243 = 295,140,243/x
  3. Step 3: Cross multiply
    191,127,296x = 295,140,243 × 295,140,243
  4. Step 4: Simplify right side
    191,127,296x = 87,107,763,038,099,056
  5. Step 5: Solve for x
    x = 87,107,763,038,099,056/191,127,296
  6. Step 6: Final answer
    x = 455,757,837.11

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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.