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Finding the Third Proportional to 90,405,585 and 196,222,980

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Solution

The third proportional to 90,405,585 and 196,222,980 is: 425,896,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405,585 : 196,222,980 = 196,222,980 : x
  2. Step 2: Convert to fraction form
    90,405,585/196,222,980 = 196,222,980/x
  3. Step 3: Cross multiply
    90,405,585x = 196,222,980 × 196,222,980
  4. Step 4: Simplify right side
    90,405,585x = 38,503,457,880,080,400
  5. Step 5: Solve for x
    x = 38,503,457,880,080,400/90,405,585
  6. Step 6: Final answer
    x = 425,896,894.31

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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.