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Finding the Third Proportional to 84,097,488 and 186,456,912

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Solution

The third proportional to 84,097,488 and 186,456,912 is: 413,403,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097,488 : 186,456,912 = 186,456,912 : x
  2. Step 2: Convert to fraction form
    84,097,488/186,456,912 = 186,456,912/x
  3. Step 3: Cross multiply
    84,097,488x = 186,456,912 × 186,456,912
  4. Step 4: Simplify right side
    84,097,488x = 34,766,180,032,575,744
  5. Step 5: Solve for x
    x = 34,766,180,032,575,744/84,097,488
  6. Step 6: Final answer
    x = 413,403,311.55

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.