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Finding the Third Proportional to 120,011,598 and 261,828,755.25

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Solution

The third proportional to 120,011,598 and 261,828,755.25 is: 571,230,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,011,598 : 261,828,755.25 = 261,828,755.25 : x
  2. Step 2: Convert to fraction form
    120,011,598/261,828,755.25 = 261,828,755.25/x
  3. Step 3: Cross multiply
    120,011,598x = 261,828,755.25 × 261,828,755.25
  4. Step 4: Simplify right side
    120,011,598x = 68,554,297,075,764,400
  5. Step 5: Solve for x
    x = 68,554,297,075,764,400/120,011,598
  6. Step 6: Final answer
    x = 571,230,599.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.