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Finding the Third Proportional to 86,293,512 and 185,394,091.50

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Solution

The third proportional to 86,293,512 and 185,394,091.50 is: 398,303,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,293,512 : 185,394,091.50 = 185,394,091.50 : x
  2. Step 2: Convert to fraction form
    86,293,512/185,394,091.50 = 185,394,091.50/x
  3. Step 3: Cross multiply
    86,293,512x = 185,394,091.50 × 185,394,091.50
  4. Step 4: Simplify right side
    86,293,512x = 34,370,969,163,110,372
  5. Step 5: Solve for x
    x = 34,370,969,163,110,372/86,293,512
  6. Step 6: Final answer
    x = 398,303,051.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.