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Finding the Third Proportional to 118,584,108 and 177,178,644

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Solution

The third proportional to 118,584,108 and 177,178,644 is: 264,725,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,584,108 : 177,178,644 = 177,178,644 : x
  2. Step 2: Convert to fraction form
    118,584,108/177,178,644 = 177,178,644/x
  3. Step 3: Cross multiply
    118,584,108x = 177,178,644 × 177,178,644
  4. Step 4: Simplify right side
    118,584,108x = 31,392,271,889,678,736
  5. Step 5: Solve for x
    x = 31,392,271,889,678,736/118,584,108
  6. Step 6: Final answer
    x = 264,725,791.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.