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Finding the Third Proportional to 165,014,998 and 349,700,602

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Solution

The third proportional to 165,014,998 and 349,700,602 is: 741,087,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,014,998 : 349,700,602 = 349,700,602 : x
  2. Step 2: Convert to fraction form
    165,014,998/349,700,602 = 349,700,602/x
  3. Step 3: Cross multiply
    165,014,998x = 349,700,602 × 349,700,602
  4. Step 4: Simplify right side
    165,014,998x = 122,290,511,039,162,400
  5. Step 5: Solve for x
    x = 122,290,511,039,162,400/165,014,998
  6. Step 6: Final answer
    x = 741,087,249.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.