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Finding the Third Proportional to 85,633,714 and 130,458,129

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Solution

The third proportional to 85,633,714 and 130,458,129 is: 198,745,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,633,714 : 130,458,129 = 130,458,129 : x
  2. Step 2: Convert to fraction form
    85,633,714/130,458,129 = 130,458,129/x
  3. Step 3: Cross multiply
    85,633,714x = 130,458,129 × 130,458,129
  4. Step 4: Simplify right side
    85,633,714x = 17,019,323,422,180,640
  5. Step 5: Solve for x
    x = 17,019,323,422,180,640/85,633,714
  6. Step 6: Final answer
    x = 198,745,594.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.