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Finding the Third Proportional to 69,854,048 and 146,946,816

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Solution

The third proportional to 69,854,048 and 146,946,816 is: 309,121,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854,048 : 146,946,816 = 146,946,816 : x
  2. Step 2: Convert to fraction form
    69,854,048/146,946,816 = 146,946,816/x
  3. Step 3: Cross multiply
    69,854,048x = 146,946,816 × 146,946,816
  4. Step 4: Simplify right side
    69,854,048x = 21,593,366,732,537,856
  5. Step 5: Solve for x
    x = 21,593,366,732,537,856/69,854,048
  6. Step 6: Final answer
    x = 309,121,194.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.