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Finding the Third Proportional to 68,054,236 and 149,335,448

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Solution

The third proportional to 68,054,236 and 149,335,448 is: 327,695,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,054,236 : 149,335,448 = 149,335,448 : x
  2. Step 2: Convert to fraction form
    68,054,236/149,335,448 = 149,335,448/x
  3. Step 3: Cross multiply
    68,054,236x = 149,335,448 × 149,335,448
  4. Step 4: Simplify right side
    68,054,236x = 22,301,076,029,360,704
  5. Step 5: Solve for x
    x = 22,301,076,029,360,704/68,054,236
  6. Step 6: Final answer
    x = 327,695,634.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.