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Finding the Third Proportional to 54,044,099.50 and 83,651,184

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Solution

The third proportional to 54,044,099.50 and 83,651,184 is: 129,477,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,044,099.50 : 83,651,184 = 83,651,184 : x
  2. Step 2: Convert to fraction form
    54,044,099.50/83,651,184 = 83,651,184/x
  3. Step 3: Cross multiply
    54,044,099.50x = 83,651,184 × 83,651,184
  4. Step 4: Simplify right side
    54,044,099.50x = 6,997,520,584,601,856
  5. Step 5: Solve for x
    x = 6,997,520,584,601,856/54,044,099.50
  6. Step 6: Final answer
    x = 129,477,975.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.