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Finding the Third Proportional to 162,403,231 and 383,255,140

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Solution

The third proportional to 162,403,231 and 383,255,140 is: 904,443,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,403,231 : 383,255,140 = 383,255,140 : x
  2. Step 2: Convert to fraction form
    162,403,231/383,255,140 = 383,255,140/x
  3. Step 3: Cross multiply
    162,403,231x = 383,255,140 × 383,255,140
  4. Step 4: Simplify right side
    162,403,231x = 146,884,502,336,419,584
  5. Step 5: Solve for x
    x = 146,884,502,336,419,584/162,403,231
  6. Step 6: Final answer
    x = 904,443,227.10

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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.