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Finding the Third Proportional to 68,423,619 and 148,893,234

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Solution

The third proportional to 68,423,619 and 148,893,234 is: 323,999,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,423,619 : 148,893,234 = 148,893,234 : x
  2. Step 2: Convert to fraction form
    68,423,619/148,893,234 = 148,893,234/x
  3. Step 3: Cross multiply
    68,423,619x = 148,893,234 × 148,893,234
  4. Step 4: Simplify right side
    68,423,619x = 22,169,195,130,978,756
  5. Step 5: Solve for x
    x = 22,169,195,130,978,756/68,423,619
  6. Step 6: Final answer
    x = 323,999,160.74

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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.