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Finding the Third Proportional to 83,285,457 and 132,998,203.50

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Solution

The third proportional to 83,285,457 and 132,998,203.50 is: 212,384,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285,457 : 132,998,203.50 = 132,998,203.50 : x
  2. Step 2: Convert to fraction form
    83,285,457/132,998,203.50 = 132,998,203.50/x
  3. Step 3: Cross multiply
    83,285,457x = 132,998,203.50 × 132,998,203.50
  4. Step 4: Simplify right side
    83,285,457x = 17,688,522,134,227,412
  5. Step 5: Solve for x
    x = 17,688,522,134,227,412/83,285,457
  6. Step 6: Final answer
    x = 212,384,283.78

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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.