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Finding the Third Proportional to 41,970,055.50 and 90,765,805.50

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Solution

The third proportional to 41,970,055.50 and 90,765,805.50 is: 196,293,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,970,055.50 : 90,765,805.50 = 90,765,805.50 : x
  2. Step 2: Convert to fraction form
    41,970,055.50/90,765,805.50 = 90,765,805.50/x
  3. Step 3: Cross multiply
    41,970,055.50x = 90,765,805.50 × 90,765,805.50
  4. Step 4: Simplify right side
    41,970,055.50x = 8,238,431,448,063,830
  5. Step 5: Solve for x
    x = 8,238,431,448,063,830/41,970,055.50
  6. Step 6: Final answer
    x = 196,293,079.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.