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Finding the Third Proportional to 162,403,234 and 383,255,144

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Solution

The third proportional to 162,403,234 and 383,255,144 is: 904,443,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,403,234 : 383,255,144 = 383,255,144 : x
  2. Step 2: Convert to fraction form
    162,403,234/383,255,144 = 383,255,144/x
  3. Step 3: Cross multiply
    162,403,234x = 383,255,144 × 383,255,144
  4. Step 4: Simplify right side
    162,403,234x = 146,884,505,402,460,736
  5. Step 5: Solve for x
    x = 146,884,505,402,460,736/162,403,234
  6. Step 6: Final answer
    x = 904,443,229.27

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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.