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Finding the Third Proportional to 83,285,455.50 and 132,998,202

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Solution

The third proportional to 83,285,455.50 and 132,998,202 is: 212,384,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285,455.50 : 132,998,202 = 132,998,202 : x
  2. Step 2: Convert to fraction form
    83,285,455.50/132,998,202 = 132,998,202/x
  3. Step 3: Cross multiply
    83,285,455.50x = 132,998,202 × 132,998,202
  4. Step 4: Simplify right side
    83,285,455.50x = 17,688,521,735,232,804
  5. Step 5: Solve for x
    x = 17,688,521,735,232,804/83,285,455.50
  6. Step 6: Final answer
    x = 212,384,282.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.