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Finding the Third Proportional to 162,403,230 and 383,255,137

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Solution

The third proportional to 162,403,230 and 383,255,137 is: 904,443,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,403,230 : 383,255,137 = 383,255,137 : x
  2. Step 2: Convert to fraction form
    162,403,230/383,255,137 = 383,255,137/x
  3. Step 3: Cross multiply
    162,403,230x = 383,255,137 × 383,255,137
  4. Step 4: Simplify right side
    162,403,230x = 146,884,500,036,888,768
  5. Step 5: Solve for x
    x = 146,884,500,036,888,768/162,403,230
  6. Step 6: Final answer
    x = 904,443,218.51

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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.