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Finding the Third Proportional to 109,160,912 and 236,740,042

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Solution

The third proportional to 109,160,912 and 236,740,042 is: 513,424,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,160,912 : 236,740,042 = 236,740,042 : x
  2. Step 2: Convert to fraction form
    109,160,912/236,740,042 = 236,740,042/x
  3. Step 3: Cross multiply
    109,160,912x = 236,740,042 × 236,740,042
  4. Step 4: Simplify right side
    109,160,912x = 56,045,847,486,161,760
  5. Step 5: Solve for x
    x = 56,045,847,486,161,760/109,160,912
  6. Step 6: Final answer
    x = 513,424,141.11

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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.