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Finding the Third Proportional to 83,269,298 and 180,439,093

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Solution

The third proportional to 83,269,298 and 180,439,093 is: 390,999,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269,298 : 180,439,093 = 180,439,093 : x
  2. Step 2: Convert to fraction form
    83,269,298/180,439,093 = 180,439,093/x
  3. Step 3: Cross multiply
    83,269,298x = 180,439,093 × 180,439,093
  4. Step 4: Simplify right side
    83,269,298x = 32,558,266,282,662,648
  5. Step 5: Solve for x
    x = 32,558,266,282,662,648/83,269,298
  6. Step 6: Final answer
    x = 390,999,648.91

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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.