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Finding the Third Proportional to 101,028,648 and 162,706,714

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Solution

The third proportional to 101,028,648 and 162,706,714 is: 262,039,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,028,648 : 162,706,714 = 162,706,714 : x
  2. Step 2: Convert to fraction form
    101,028,648/162,706,714 = 162,706,714/x
  3. Step 3: Cross multiply
    101,028,648x = 162,706,714 × 162,706,714
  4. Step 4: Simplify right side
    101,028,648x = 26,473,474,780,677,796
  5. Step 5: Solve for x
    x = 26,473,474,780,677,796/101,028,648
  6. Step 6: Final answer
    x = 262,039,285.93

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.