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Finding the Third Proportional to 69,920,019 and 105,850,570.50

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Solution

The third proportional to 69,920,019 and 105,850,570.50 is: 160,245,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,920,019 : 105,850,570.50 = 105,850,570.50 : x
  2. Step 2: Convert to fraction form
    69,920,019/105,850,570.50 = 105,850,570.50/x
  3. Step 3: Cross multiply
    69,920,019x = 105,850,570.50 × 105,850,570.50
  4. Step 4: Simplify right side
    69,920,019x = 11,204,343,275,175,470
  5. Step 5: Solve for x
    x = 11,204,343,275,175,470/69,920,019
  6. Step 6: Final answer
    x = 160,245,140.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.