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Finding the Third Proportional to 72,987,794 and 102,041,235

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Solution

The third proportional to 72,987,794 and 102,041,235 is: 142,659,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987,794 : 102,041,235 = 102,041,235 : x
  2. Step 2: Convert to fraction form
    72,987,794/102,041,235 = 102,041,235/x
  3. Step 3: Cross multiply
    72,987,794x = 102,041,235 × 102,041,235
  4. Step 4: Simplify right side
    72,987,794x = 10,412,413,640,325,224
  5. Step 5: Solve for x
    x = 10,412,413,640,325,224/72,987,794
  6. Step 6: Final answer
    x = 142,659,656.77

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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.