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Finding the Third Proportional to 68,704,419 and 148,169,670

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Solution

The third proportional to 68,704,419 and 148,169,670 is: 319,546,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704,419 : 148,169,670 = 148,169,670 : x
  2. Step 2: Convert to fraction form
    68,704,419/148,169,670 = 148,169,670/x
  3. Step 3: Cross multiply
    68,704,419x = 148,169,670 × 148,169,670
  4. Step 4: Simplify right side
    68,704,419x = 21,954,251,107,908,900
  5. Step 5: Solve for x
    x = 21,954,251,107,908,900/68,704,419
  6. Step 6: Final answer
    x = 319,546,419.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.