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Finding the Third Proportional to 86,550,682 and 182,759,132

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Solution

The third proportional to 86,550,682 and 182,759,132 is: 385,911,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,550,682 : 182,759,132 = 182,759,132 : x
  2. Step 2: Convert to fraction form
    86,550,682/182,759,132 = 182,759,132/x
  3. Step 3: Cross multiply
    86,550,682x = 182,759,132 × 182,759,132
  4. Step 4: Simplify right side
    86,550,682x = 33,400,900,329,393,424
  5. Step 5: Solve for x
    x = 33,400,900,329,393,424/86,550,682
  6. Step 6: Final answer
    x = 385,911,463.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.