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Finding the Third Proportional to 122,667,948 and 182,075,853

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Solution

The third proportional to 122,667,948 and 182,075,853 is: 270,254,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,667,948 : 182,075,853 = 182,075,853 : x
  2. Step 2: Convert to fraction form
    122,667,948/182,075,853 = 182,075,853/x
  3. Step 3: Cross multiply
    122,667,948x = 182,075,853 × 182,075,853
  4. Step 4: Simplify right side
    122,667,948x = 33,151,616,245,677,608
  5. Step 5: Solve for x
    x = 33,151,616,245,677,608/122,667,948
  6. Step 6: Final answer
    x = 270,254,918.14

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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.