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Finding the Third Proportional to 149,574,728 and 229,765,096

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Solution

The third proportional to 149,574,728 and 229,765,096 is: 352,947,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574,728 : 229,765,096 = 229,765,096 : x
  2. Step 2: Convert to fraction form
    149,574,728/229,765,096 = 229,765,096/x
  3. Step 3: Cross multiply
    149,574,728x = 229,765,096 × 229,765,096
  4. Step 4: Simplify right side
    149,574,728x = 52,791,999,339,889,216
  5. Step 5: Solve for x
    x = 52,791,999,339,889,216/149,574,728
  6. Step 6: Final answer
    x = 352,947,319.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.