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Finding the Third Proportional to 122,657,170.50 and 270,202,401

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Solution

The third proportional to 122,657,170.50 and 270,202,401 is: 595,230,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,657,170.50 : 270,202,401 = 270,202,401 : x
  2. Step 2: Convert to fraction form
    122,657,170.50/270,202,401 = 270,202,401/x
  3. Step 3: Cross multiply
    122,657,170.50x = 270,202,401 × 270,202,401
  4. Step 4: Simplify right side
    122,657,170.50x = 73,009,337,506,164,800
  5. Step 5: Solve for x
    x = 73,009,337,506,164,800/122,657,170.50
  6. Step 6: Final answer
    x = 595,230,896.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.