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Finding the Third Proportional to 239,527,664 and 519,710,692

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Solution

The third proportional to 239,527,664 and 519,710,692 is: 1,127,632,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,527,664 : 519,710,692 = 519,710,692 : x
  2. Step 2: Convert to fraction form
    239,527,664/519,710,692 = 519,710,692/x
  3. Step 3: Cross multiply
    239,527,664x = 519,710,692 × 519,710,692
  4. Step 4: Simplify right side
    239,527,664x = 270,099,203,379,118,848
  5. Step 5: Solve for x
    x = 270,099,203,379,118,848/239,527,664
  6. Step 6: Final answer
    x = 1,127,632,603.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.