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Finding the Third Proportional to 145,075,572 and 318,651,512

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Solution

The third proportional to 145,075,572 and 318,651,512 is: 699,902,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,075,572 : 318,651,512 = 318,651,512 : x
  2. Step 2: Convert to fraction form
    145,075,572/318,651,512 = 318,651,512/x
  3. Step 3: Cross multiply
    145,075,572x = 318,651,512 × 318,651,512
  4. Step 4: Simplify right side
    145,075,572x = 101,538,786,099,886,144
  5. Step 5: Solve for x
    x = 101,538,786,099,886,144/145,075,572
  6. Step 6: Final answer
    x = 699,902,710.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.