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Finding the Third Proportional to 86,971,117 and 186,391,880

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Solution

The third proportional to 86,971,117 and 186,391,880 is: 399,465,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,971,117 : 186,391,880 = 186,391,880 : x
  2. Step 2: Convert to fraction form
    86,971,117/186,391,880 = 186,391,880/x
  3. Step 3: Cross multiply
    86,971,117x = 186,391,880 × 186,391,880
  4. Step 4: Simplify right side
    86,971,117x = 34,741,932,929,934,400
  5. Step 5: Solve for x
    x = 34,741,932,929,934,400/86,971,117
  6. Step 6: Final answer
    x = 399,465,180.26

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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.