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Finding the Third Proportional to 81,282,734 and 123,829,689.50

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Solution

The third proportional to 81,282,734 and 123,829,689.50 is: 188,647,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282,734 : 123,829,689.50 = 123,829,689.50 : x
  2. Step 2: Convert to fraction form
    81,282,734/123,829,689.50 = 123,829,689.50/x
  3. Step 3: Cross multiply
    81,282,734x = 123,829,689.50 × 123,829,689.50
  4. Step 4: Simplify right side
    81,282,734x = 15,333,792,001,666,410
  5. Step 5: Solve for x
    x = 15,333,792,001,666,410/81,282,734
  6. Step 6: Final answer
    x = 188,647,591.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.