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Finding the Third Proportional to 149,303,024 and 213,503,560

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Solution

The third proportional to 149,303,024 and 213,503,560 is: 305,310,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,303,024 : 213,503,560 = 213,503,560 : x
  2. Step 2: Convert to fraction form
    149,303,024/213,503,560 = 213,503,560/x
  3. Step 3: Cross multiply
    149,303,024x = 213,503,560 × 213,503,560
  4. Step 4: Simplify right side
    149,303,024x = 45,583,770,132,673,600
  5. Step 5: Solve for x
    x = 45,583,770,132,673,600/149,303,024
  6. Step 6: Final answer
    x = 305,310,427.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.