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Finding the Third Proportional to 83,269,300 and 180,439,097

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Solution

The third proportional to 83,269,300 and 180,439,097 is: 390,999,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269,300 : 180,439,097 = 180,439,097 : x
  2. Step 2: Convert to fraction form
    83,269,300/180,439,097 = 180,439,097/x
  3. Step 3: Cross multiply
    83,269,300x = 180,439,097 × 180,439,097
  4. Step 4: Simplify right side
    83,269,300x = 32,558,267,726,175,408
  5. Step 5: Solve for x
    x = 32,558,267,726,175,408/83,269,300
  6. Step 6: Final answer
    x = 390,999,656.85

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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.