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Finding the Third Proportional to 70,035,201 and 111,882,721.50

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Solution

The third proportional to 70,035,201 and 111,882,721.50 is: 178,735,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,035,201 : 111,882,721.50 = 111,882,721.50 : x
  2. Step 2: Convert to fraction form
    70,035,201/111,882,721.50 = 111,882,721.50/x
  3. Step 3: Cross multiply
    70,035,201x = 111,882,721.50 × 111,882,721.50
  4. Step 4: Simplify right side
    70,035,201x = 12,517,743,370,246,562
  5. Step 5: Solve for x
    x = 12,517,743,370,246,562/70,035,201
  6. Step 6: Final answer
    x = 178,735,024.55

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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.