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Finding the Third Proportional to 301,109,092 and 460,318,100

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Solution

The third proportional to 301,109,092 and 460,318,100 is: 703,707,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,109,092 : 460,318,100 = 460,318,100 : x
  2. Step 2: Convert to fraction form
    301,109,092/460,318,100 = 460,318,100/x
  3. Step 3: Cross multiply
    301,109,092x = 460,318,100 × 460,318,100
  4. Step 4: Simplify right side
    301,109,092x = 211,892,753,187,609,984
  5. Step 5: Solve for x
    x = 211,892,753,187,609,984/301,109,092
  6. Step 6: Final answer
    x = 703,707,589.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.