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Finding the Third Proportional to 65,733,898 and 102,580,256

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Solution

The third proportional to 65,733,898 and 102,580,256 is: 160,080,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,898 : 102,580,256 = 102,580,256 : x
  2. Step 2: Convert to fraction form
    65,733,898/102,580,256 = 102,580,256/x
  3. Step 3: Cross multiply
    65,733,898x = 102,580,256 × 102,580,256
  4. Step 4: Simplify right side
    65,733,898x = 10,522,708,921,025,536
  5. Step 5: Solve for x
    x = 10,522,708,921,025,536/65,733,898
  6. Step 6: Final answer
    x = 160,080,403.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.