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Finding the Third Proportional to 149,468,888.25 and 326,135,990.25

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Solution

The third proportional to 149,468,888.25 and 326,135,990.25 is: 711,617,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,468,888.25 : 326,135,990.25 = 326,135,990.25 : x
  2. Step 2: Convert to fraction form
    149,468,888.25/326,135,990.25 = 326,135,990.25/x
  3. Step 3: Cross multiply
    149,468,888.25x = 326,135,990.25 × 326,135,990.25
  4. Step 4: Simplify right side
    149,468,888.25x = 106,364,684,136,348,096
  5. Step 5: Solve for x
    x = 106,364,684,136,348,096/149,468,888.25
  6. Step 6: Final answer
    x = 711,617,550.53

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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.