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Finding the Third Proportional to 68,087,412 and 146,093,671.50

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Solution

The third proportional to 68,087,412 and 146,093,671.50 is: 313,469,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,087,412 : 146,093,671.50 = 146,093,671.50 : x
  2. Step 2: Convert to fraction form
    68,087,412/146,093,671.50 = 146,093,671.50/x
  3. Step 3: Cross multiply
    68,087,412x = 146,093,671.50 × 146,093,671.50
  4. Step 4: Simplify right side
    68,087,412x = 21,343,360,852,349,912
  5. Step 5: Solve for x
    x = 21,343,360,852,349,912/68,087,412
  6. Step 6: Final answer
    x = 313,469,997.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.