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Finding the Third Proportional to 162,394,404 and 383,221,729.50

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Solution

The third proportional to 162,394,404 and 383,221,729.50 is: 904,334,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,394,404 : 383,221,729.50 = 383,221,729.50 : x
  2. Step 2: Convert to fraction form
    162,394,404/383,221,729.50 = 383,221,729.50/x
  3. Step 3: Cross multiply
    162,394,404x = 383,221,729.50 × 383,221,729.50
  4. Step 4: Simplify right side
    162,394,404x = 146,858,893,960,971,168
  5. Step 5: Solve for x
    x = 146,858,893,960,971,168/162,394,404
  6. Step 6: Final answer
    x = 904,334,695.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.