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Finding the Third Proportional to 92,536,404 and 199,533,825

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Solution

The third proportional to 92,536,404 and 199,533,825 is: 430,249,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,536,404 : 199,533,825 = 199,533,825 : x
  2. Step 2: Convert to fraction form
    92,536,404/199,533,825 = 199,533,825/x
  3. Step 3: Cross multiply
    92,536,404x = 199,533,825 × 199,533,825
  4. Step 4: Simplify right side
    92,536,404x = 39,813,747,319,130,624
  5. Step 5: Solve for x
    x = 39,813,747,319,130,624/92,536,404
  6. Step 6: Final answer
    x = 430,249,562.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.