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Finding the Third Proportional to 43,075,002 and 92,204,850

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Solution

The third proportional to 43,075,002 and 92,204,850 is: 197,370,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075,002 : 92,204,850 = 92,204,850 : x
  2. Step 2: Convert to fraction form
    43,075,002/92,204,850 = 92,204,850/x
  3. Step 3: Cross multiply
    43,075,002x = 92,204,850 × 92,204,850
  4. Step 4: Simplify right side
    43,075,002x = 8,501,734,363,522,500
  5. Step 5: Solve for x
    x = 8,501,734,363,522,500/43,075,002
  6. Step 6: Final answer
    x = 197,370,492.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.