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Finding the Third Proportional to 83,589,528 and 129,110,916

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Solution

The third proportional to 83,589,528 and 129,110,916 is: 199,422,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589,528 : 129,110,916 = 129,110,916 : x
  2. Step 2: Convert to fraction form
    83,589,528/129,110,916 = 129,110,916/x
  3. Step 3: Cross multiply
    83,589,528x = 129,110,916 × 129,110,916
  4. Step 4: Simplify right side
    83,589,528x = 16,669,628,630,359,056
  5. Step 5: Solve for x
    x = 16,669,628,630,359,056/83,589,528
  6. Step 6: Final answer
    x = 199,422,451.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.