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Finding the Third Proportional to 261,221,914 and 377,607,975

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Solution

The third proportional to 261,221,914 and 377,607,975 is: 545,849,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,221,914 : 377,607,975 = 377,607,975 : x
  2. Step 2: Convert to fraction form
    261,221,914/377,607,975 = 377,607,975/x
  3. Step 3: Cross multiply
    261,221,914x = 377,607,975 × 377,607,975
  4. Step 4: Simplify right side
    261,221,914x = 142,587,782,783,600,624
  5. Step 5: Solve for x
    x = 142,587,782,783,600,624/261,221,914
  6. Step 6: Final answer
    x = 545,849,238.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.