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Finding the Third Proportional to 57,809,269 and 83,092,210

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Solution

The third proportional to 57,809,269 and 83,092,210 is: 119,432,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809,269 : 83,092,210 = 83,092,210 : x
  2. Step 2: Convert to fraction form
    57,809,269/83,092,210 = 83,092,210/x
  3. Step 3: Cross multiply
    57,809,269x = 83,092,210 × 83,092,210
  4. Step 4: Simplify right side
    57,809,269x = 6,904,315,362,684,100
  5. Step 5: Solve for x
    x = 6,904,315,362,684,100/57,809,269
  6. Step 6: Final answer
    x = 119,432,670.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.