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Finding the Third Proportional to 87,836,700 and 190,794,138

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Solution

The third proportional to 87,836,700 and 190,794,138 is: 414,432,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,836,700 : 190,794,138 = 190,794,138 : x
  2. Step 2: Convert to fraction form
    87,836,700/190,794,138 = 190,794,138/x
  3. Step 3: Cross multiply
    87,836,700x = 190,794,138 × 190,794,138
  4. Step 4: Simplify right side
    87,836,700x = 36,402,403,095,163,040
  5. Step 5: Solve for x
    x = 36,402,403,095,163,040/87,836,700
  6. Step 6: Final answer
    x = 414,432,726.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.