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Finding the Third Proportional to 158,006,994 and 339,311,152

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Solution

The third proportional to 158,006,994 and 339,311,152 is: 728,651,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,006,994 : 339,311,152 = 339,311,152 : x
  2. Step 2: Convert to fraction form
    158,006,994/339,311,152 = 339,311,152/x
  3. Step 3: Cross multiply
    158,006,994x = 339,311,152 × 339,311,152
  4. Step 4: Simplify right side
    158,006,994x = 115,132,057,871,567,104
  5. Step 5: Solve for x
    x = 115,132,057,871,567,104/158,006,994
  6. Step 6: Final answer
    x = 728,651,656.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.