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Finding the Third Proportional to 162,395,083.50 and 378,934,950

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Solution

The third proportional to 162,395,083.50 and 378,934,950 is: 884,212,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,395,083.50 : 378,934,950 = 378,934,950 : x
  2. Step 2: Convert to fraction form
    162,395,083.50/378,934,950 = 378,934,950/x
  3. Step 3: Cross multiply
    162,395,083.50x = 378,934,950 × 378,934,950
  4. Step 4: Simplify right side
    162,395,083.50x = 143,591,696,331,502,496
  5. Step 5: Solve for x
    x = 143,591,696,331,502,496/162,395,083.50
  6. Step 6: Final answer
    x = 884,212,090.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.