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Finding the Third Proportional to 152,818,938 and 216,030,954

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Solution

The third proportional to 152,818,938 and 216,030,954 is: 305,389,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,818,938 : 216,030,954 = 216,030,954 : x
  2. Step 2: Convert to fraction form
    152,818,938/216,030,954 = 216,030,954/x
  3. Step 3: Cross multiply
    152,818,938x = 216,030,954 × 216,030,954
  4. Step 4: Simplify right side
    152,818,938x = 46,669,373,086,150,112
  5. Step 5: Solve for x
    x = 46,669,373,086,150,112/152,818,938
  6. Step 6: Final answer
    x = 305,389,984.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.