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Finding the Third Proportional to 84,505,740 and 185,151,534

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Solution

The third proportional to 84,505,740 and 185,151,534 is: 405,665,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,505,740 : 185,151,534 = 185,151,534 : x
  2. Step 2: Convert to fraction form
    84,505,740/185,151,534 = 185,151,534/x
  3. Step 3: Cross multiply
    84,505,740x = 185,151,534 × 185,151,534
  4. Step 4: Simplify right side
    84,505,740x = 34,281,090,542,553,156
  5. Step 5: Solve for x
    x = 34,281,090,542,553,156/84,505,740
  6. Step 6: Final answer
    x = 405,665,822.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.