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Finding the Third Proportional to 68,065,094 and 102,907,995

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Solution

The third proportional to 68,065,094 and 102,907,995 is: 155,587,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065,094 : 102,907,995 = 102,907,995 : x
  2. Step 2: Convert to fraction form
    68,065,094/102,907,995 = 102,907,995/x
  3. Step 3: Cross multiply
    68,065,094x = 102,907,995 × 102,907,995
  4. Step 4: Simplify right side
    68,065,094x = 10,590,055,434,920,024
  5. Step 5: Solve for x
    x = 10,590,055,434,920,024/68,065,094
  6. Step 6: Final answer
    x = 155,587,171.23

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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.