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Finding the Third Proportional to 65,050,881.75 and 89,202,357

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Solution

The third proportional to 65,050,881.75 and 89,202,357 is: 122,320,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,050,881.75 : 89,202,357 = 89,202,357 : x
  2. Step 2: Convert to fraction form
    65,050,881.75/89,202,357 = 89,202,357/x
  3. Step 3: Cross multiply
    65,050,881.75x = 89,202,357 × 89,202,357
  4. Step 4: Simplify right side
    65,050,881.75x = 7,957,060,494,355,449
  5. Step 5: Solve for x
    x = 7,957,060,494,355,449/65,050,881.75
  6. Step 6: Final answer
    x = 122,320,563.23

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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.