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Finding the Third Proportional to 191,660,813.50 and 416,902,566.50

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Solution

The third proportional to 191,660,813.50 and 416,902,566.50 is: 906,850,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,660,813.50 : 416,902,566.50 = 416,902,566.50 : x
  2. Step 2: Convert to fraction form
    191,660,813.50/416,902,566.50 = 416,902,566.50/x
  3. Step 3: Cross multiply
    191,660,813.50x = 416,902,566.50 × 416,902,566.50
  4. Step 4: Simplify right side
    191,660,813.50x = 173,807,749,954,286,912
  5. Step 5: Solve for x
    x = 173,807,749,954,286,912/191,660,813.50
  6. Step 6: Final answer
    x = 906,850,736.88

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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.