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Finding the Third Proportional to 89,473,858 and 195,694,532

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Solution

The third proportional to 89,473,858 and 195,694,532 is: 428,017,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,473,858 : 195,694,532 = 195,694,532 : x
  2. Step 2: Convert to fraction form
    89,473,858/195,694,532 = 195,694,532/x
  3. Step 3: Cross multiply
    89,473,858x = 195,694,532 × 195,694,532
  4. Step 4: Simplify right side
    89,473,858x = 38,296,349,854,699,024
  5. Step 5: Solve for x
    x = 38,296,349,854,699,024/89,473,858
  6. Step 6: Final answer
    x = 428,017,196.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.