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Finding the Third Proportional to 77,062,236.75 and 105,673,120.88

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Solution

The third proportional to 77,062,236.75 and 105,673,120.88 is: 144,906,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062,236.75 : 105,673,120.88 = 105,673,120.88 : x
  2. Step 2: Convert to fraction form
    77,062,236.75/105,673,120.88 = 105,673,120.88/x
  3. Step 3: Cross multiply
    77,062,236.75x = 105,673,120.88 × 105,673,120.88
  4. Step 4: Simplify right side
    77,062,236.75x = 11,166,808,475,462,360
  5. Step 5: Solve for x
    x = 11,166,808,475,462,360/77,062,236.75
  6. Step 6: Final answer
    x = 144,906,363.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.