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Finding the Third Proportional to 109,333,876,312.12 and 170,393,065,487.44

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Solution

The third proportional to 109,333,876,312.12 and 170,393,065,487.44 is: 265,551,700,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,333,876,312.12 : 170,393,065,487.44 = 170,393,065,487.44 : x
  2. Step 2: Convert to fraction form
    109,333,876,312.12/170,393,065,487.44 = 170,393,065,487.44/x
  3. Step 3: Cross multiply
    109,333,876,312.12x = 170,393,065,487.44 × 170,393,065,487.44
  4. Step 4: Simplify right side
    109,333,876,312.12x = 29,033,796,766,207,016,173,568
  5. Step 5: Solve for x
    x = 29,033,796,766,207,016,173,568/109,333,876,312.12
  6. Step 6: Final answer
    x = 265,551,700,401.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.