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Finding the Third Proportional to 83,907,306 and 184,465,764

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Solution

The third proportional to 83,907,306 and 184,465,764 is: 405,538,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907,306 : 184,465,764 = 184,465,764 : x
  2. Step 2: Convert to fraction form
    83,907,306/184,465,764 = 184,465,764/x
  3. Step 3: Cross multiply
    83,907,306x = 184,465,764 × 184,465,764
  4. Step 4: Simplify right side
    83,907,306x = 34,027,618,088,103,696
  5. Step 5: Solve for x
    x = 34,027,618,088,103,696/83,907,306
  6. Step 6: Final answer
    x = 405,538,202.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.