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Finding the Third Proportional to 146,025,504 and 218,583,360

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Solution

The third proportional to 146,025,504 and 218,583,360 is: 327,194,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,025,504 : 218,583,360 = 218,583,360 : x
  2. Step 2: Convert to fraction form
    146,025,504/218,583,360 = 218,583,360/x
  3. Step 3: Cross multiply
    146,025,504x = 218,583,360 × 218,583,360
  4. Step 4: Simplify right side
    146,025,504x = 47,778,685,268,889,600
  5. Step 5: Solve for x
    x = 47,778,685,268,889,600/146,025,504
  6. Step 6: Final answer
    x = 327,194,113.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.