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Finding the Third Proportional to 85,633,712 and 130,458,126

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Solution

The third proportional to 85,633,712 and 130,458,126 is: 198,745,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,633,712 : 130,458,126 = 130,458,126 : x
  2. Step 2: Convert to fraction form
    85,633,712/130,458,126 = 130,458,126/x
  3. Step 3: Cross multiply
    85,633,712x = 130,458,126 × 130,458,126
  4. Step 4: Simplify right side
    85,633,712x = 17,019,322,639,431,876
  5. Step 5: Solve for x
    x = 17,019,322,639,431,876/85,633,712
  6. Step 6: Final answer
    x = 198,745,590.28

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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.