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Finding the Third Proportional to 176,771,115 and 384,142,734

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Solution

The third proportional to 176,771,115 and 384,142,734 is: 834,783,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,771,115 : 384,142,734 = 384,142,734 : x
  2. Step 2: Convert to fraction form
    176,771,115/384,142,734 = 384,142,734/x
  3. Step 3: Cross multiply
    176,771,115x = 384,142,734 × 384,142,734
  4. Step 4: Simplify right side
    176,771,115x = 147,565,640,084,994,752
  5. Step 5: Solve for x
    x = 147,565,640,084,994,752/176,771,115
  6. Step 6: Final answer
    x = 834,783,669.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.