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Finding the Third Proportional to 86,971,106 and 186,391,858

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Solution

The third proportional to 86,971,106 and 186,391,858 is: 399,465,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,971,106 : 186,391,858 = 186,391,858 : x
  2. Step 2: Convert to fraction form
    86,971,106/186,391,858 = 186,391,858/x
  3. Step 3: Cross multiply
    86,971,106x = 186,391,858 × 186,391,858
  4. Step 4: Simplify right side
    86,971,106x = 34,741,924,728,692,164
  5. Step 5: Solve for x
    x = 34,741,924,728,692,164/86,971,106
  6. Step 6: Final answer
    x = 399,465,136.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.