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Finding the Third Proportional to 65,898,054 and 137,250,360

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Solution

The third proportional to 65,898,054 and 137,250,360 is: 285,860,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898,054 : 137,250,360 = 137,250,360 : x
  2. Step 2: Convert to fraction form
    65,898,054/137,250,360 = 137,250,360/x
  3. Step 3: Cross multiply
    65,898,054x = 137,250,360 × 137,250,360
  4. Step 4: Simplify right side
    65,898,054x = 18,837,661,320,129,600
  5. Step 5: Solve for x
    x = 18,837,661,320,129,600/65,898,054
  6. Step 6: Final answer
    x = 285,860,661.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.