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Finding the Third Proportional to 192,958,869,696.75 and 291,920,020,000.75

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Solution

The third proportional to 192,958,869,696.75 and 291,920,020,000.75 is: 441,634,521,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,958,869,696.75 : 291,920,020,000.75 = 291,920,020,000.75 : x
  2. Step 2: Convert to fraction form
    192,958,869,696.75/291,920,020,000.75 = 291,920,020,000.75/x
  3. Step 3: Cross multiply
    192,958,869,696.75x = 291,920,020,000.75 × 291,920,020,000.75
  4. Step 4: Simplify right side
    192,958,869,696.75x = 85,217,298,077,238,276,653,056
  5. Step 5: Solve for x
    x = 85,217,298,077,238,276,653,056/192,958,869,696.75
  6. Step 6: Final answer
    x = 441,634,521,445.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.