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Finding the Third Proportional to 269,539,373.50 and 414,045,452.63

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Solution

The third proportional to 269,539,373.50 and 414,045,452.63 is: 636,024,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,539,373.50 : 414,045,452.63 = 414,045,452.63 : x
  2. Step 2: Convert to fraction form
    269,539,373.50/414,045,452.63 = 414,045,452.63/x
  3. Step 3: Cross multiply
    269,539,373.50x = 414,045,452.63 × 414,045,452.63
  4. Step 4: Simplify right side
    269,539,373.50x = 171,433,636,839,441,120
  5. Step 5: Solve for x
    x = 171,433,636,839,441,120/269,539,373.50
  6. Step 6: Final answer
    x = 636,024,468.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.