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Finding the Third Proportional to 122,589,980 and 266,703,184

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Solution

The third proportional to 122,589,980 and 266,703,184 is: 580,231,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,589,980 : 266,703,184 = 266,703,184 : x
  2. Step 2: Convert to fraction form
    122,589,980/266,703,184 = 266,703,184/x
  3. Step 3: Cross multiply
    122,589,980x = 266,703,184 × 266,703,184
  4. Step 4: Simplify right side
    122,589,980x = 71,130,588,355,737,856
  5. Step 5: Solve for x
    x = 71,130,588,355,737,856/122,589,980
  6. Step 6: Final answer
    x = 580,231,666.21

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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.