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Finding the Third Proportional to 191,597,732 and 300,214,524

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Solution

The third proportional to 191,597,732 and 300,214,524 is: 470,406,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,597,732 : 300,214,524 = 300,214,524 : x
  2. Step 2: Convert to fraction form
    191,597,732/300,214,524 = 300,214,524/x
  3. Step 3: Cross multiply
    191,597,732x = 300,214,524 × 300,214,524
  4. Step 4: Simplify right side
    191,597,732x = 90,128,760,420,546,576
  5. Step 5: Solve for x
    x = 90,128,760,420,546,576/191,597,732
  6. Step 6: Final answer
    x = 470,406,196.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.