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Finding the Third Proportional to 68,984,724 and 150,216,657

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Solution

The third proportional to 68,984,724 and 150,216,657 is: 327,102,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,984,724 : 150,216,657 = 150,216,657 : x
  2. Step 2: Convert to fraction form
    68,984,724/150,216,657 = 150,216,657/x
  3. Step 3: Cross multiply
    68,984,724x = 150,216,657 × 150,216,657
  4. Step 4: Simplify right side
    68,984,724x = 22,565,044,040,255,648
  5. Step 5: Solve for x
    x = 22,565,044,040,255,648/68,984,724
  6. Step 6: Final answer
    x = 327,102,041.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.