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Finding the Third Proportional to 83,414,799 and 181,658,829

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Solution

The third proportional to 83,414,799 and 181,658,829 is: 395,612,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,414,799 : 181,658,829 = 181,658,829 : x
  2. Step 2: Convert to fraction form
    83,414,799/181,658,829 = 181,658,829/x
  3. Step 3: Cross multiply
    83,414,799x = 181,658,829 × 181,658,829
  4. Step 4: Simplify right side
    83,414,799x = 32,999,930,153,651,240
  5. Step 5: Solve for x
    x = 32,999,930,153,651,240/83,414,799
  6. Step 6: Final answer
    x = 395,612,415.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.