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Finding the Third Proportional to 191,660,835 and 416,902,616

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Solution

The third proportional to 191,660,835 and 416,902,616 is: 906,850,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,660,835 : 416,902,616 = 416,902,616 : x
  2. Step 2: Convert to fraction form
    191,660,835/416,902,616 = 416,902,616/x
  3. Step 3: Cross multiply
    191,660,835x = 416,902,616 × 416,902,616
  4. Step 4: Simplify right side
    191,660,835x = 173,807,791,227,643,456
  5. Step 5: Solve for x
    x = 173,807,791,227,643,456/191,660,835
  6. Step 6: Final answer
    x = 906,850,850.50

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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.