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Finding the Third Proportional to 260,127,144 and 534,044,409

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Solution

The third proportional to 260,127,144 and 534,044,409 is: 1,096,400,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,127,144 : 534,044,409 = 534,044,409 : x
  2. Step 2: Convert to fraction form
    260,127,144/534,044,409 = 534,044,409/x
  3. Step 3: Cross multiply
    260,127,144x = 534,044,409 × 534,044,409
  4. Step 4: Simplify right side
    260,127,144x = 285,203,430,784,159,296
  5. Step 5: Solve for x
    x = 285,203,430,784,159,296/260,127,144
  6. Step 6: Final answer
    x = 1,096,400,115.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.