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Finding the Third Proportional to 86,971,069 and 186,391,784

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Solution

The third proportional to 86,971,069 and 186,391,784 is: 399,464,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,971,069 : 186,391,784 = 186,391,784 : x
  2. Step 2: Convert to fraction form
    86,971,069/186,391,784 = 186,391,784/x
  3. Step 3: Cross multiply
    86,971,069x = 186,391,784 × 186,391,784
  4. Step 4: Simplify right side
    86,971,069x = 34,741,897,142,702,656
  5. Step 5: Solve for x
    x = 34,741,897,142,702,656/86,971,069
  6. Step 6: Final answer
    x = 399,464,989.24

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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.