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Finding the Third Proportional to 153,660,816 and 234,393,696

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Solution

The third proportional to 153,660,816 and 234,393,696 is: 357,543,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,660,816 : 234,393,696 = 234,393,696 : x
  2. Step 2: Convert to fraction form
    153,660,816/234,393,696 = 234,393,696/x
  3. Step 3: Cross multiply
    153,660,816x = 234,393,696 × 234,393,696
  4. Step 4: Simplify right side
    153,660,816x = 54,940,404,724,540,416
  5. Step 5: Solve for x
    x = 54,940,404,724,540,416/153,660,816
  6. Step 6: Final answer
    x = 357,543,361.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.