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Finding the Third Proportional to 122,146,181 and 266,240,121

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Solution

The third proportional to 122,146,181 and 266,240,121 is: 580,319,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,146,181 : 266,240,121 = 266,240,121 : x
  2. Step 2: Convert to fraction form
    122,146,181/266,240,121 = 266,240,121/x
  3. Step 3: Cross multiply
    122,146,181x = 266,240,121 × 266,240,121
  4. Step 4: Simplify right side
    122,146,181x = 70,883,802,030,094,640
  5. Step 5: Solve for x
    x = 70,883,802,030,094,640/122,146,181
  6. Step 6: Final answer
    x = 580,319,429.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.