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Finding the Third Proportional to 71,370,186.75 and 113,563,997.25

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Solution

The third proportional to 71,370,186.75 and 113,563,997.25 is: 180,702,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,370,186.75 : 113,563,997.25 = 113,563,997.25 : x
  2. Step 2: Convert to fraction form
    71,370,186.75/113,563,997.25 = 113,563,997.25/x
  3. Step 3: Cross multiply
    71,370,186.75x = 113,563,997.25 × 113,563,997.25
  4. Step 4: Simplify right side
    71,370,186.75x = 12,896,781,471,398,008
  5. Step 5: Solve for x
    x = 12,896,781,471,398,008/71,370,186.75
  6. Step 6: Final answer
    x = 180,702,644.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.