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Finding the Third Proportional to 122,667,945.75 and 182,075,850

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Solution

The third proportional to 122,667,945.75 and 182,075,850 is: 270,254,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,667,945.75 : 182,075,850 = 182,075,850 : x
  2. Step 2: Convert to fraction form
    122,667,945.75/182,075,850 = 182,075,850/x
  3. Step 3: Cross multiply
    122,667,945.75x = 182,075,850 × 182,075,850
  4. Step 4: Simplify right side
    122,667,945.75x = 33,151,615,153,222,500
  5. Step 5: Solve for x
    x = 33,151,615,153,222,500/122,667,945.75
  6. Step 6: Final answer
    x = 270,254,914.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.