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Finding the Third Proportional to 92,375,064.14 and 129,145,784.27

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Solution

The third proportional to 92,375,064.14 and 129,145,784.27 is: 180,553,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,375,064.14 : 129,145,784.27 = 129,145,784.27 : x
  2. Step 2: Convert to fraction form
    92,375,064.14/129,145,784.27 = 129,145,784.27/x
  3. Step 3: Cross multiply
    92,375,064.14x = 129,145,784.27 × 129,145,784.27
  4. Step 4: Simplify right side
    92,375,064.14x = 16,678,633,595,601,904
  5. Step 5: Solve for x
    x = 16,678,633,595,601,904/92,375,064.14
  6. Step 6: Final answer
    x = 180,553,418.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.