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Finding the Third Proportional to 86,433,489,872 and 187,295,355,808

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Solution

The third proportional to 86,433,489,872 and 187,295,355,808 is: 405,855,998,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,433,489,872 : 187,295,355,808 = 187,295,355,808 : x
  2. Step 2: Convert to fraction form
    86,433,489,872/187,295,355,808 = 187,295,355,808/x
  3. Step 3: Cross multiply
    86,433,489,872x = 187,295,355,808 × 187,295,355,808
  4. Step 4: Simplify right side
    86,433,489,872x = 35,079,550,307,245,318,209,536
  5. Step 5: Solve for x
    x = 35,079,550,307,245,318,209,536/86,433,489,872
  6. Step 6: Final answer
    x = 405,855,998,169.17

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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.