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Finding the Third Proportional to 39,821,817.50 and 86,882,058.50

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Solution

The third proportional to 39,821,817.50 and 86,882,058.50 is: 189,556,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,821,817.50 : 86,882,058.50 = 86,882,058.50 : x
  2. Step 2: Convert to fraction form
    39,821,817.50/86,882,058.50 = 86,882,058.50/x
  3. Step 3: Cross multiply
    39,821,817.50x = 86,882,058.50 × 86,882,058.50
  4. Step 4: Simplify right side
    39,821,817.50x = 7,548,492,089,197,422
  5. Step 5: Solve for x
    x = 7,548,492,089,197,422/39,821,817.50
  6. Step 6: Final answer
    x = 189,556,694.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.