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Finding the Third Proportional to 67,194,589,140 and 143,973,568,363.50

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Solution

The third proportional to 67,194,589,140 and 143,973,568,363.50 is: 308,482,999,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194,589,140 : 143,973,568,363.50 = 143,973,568,363.50 : x
  2. Step 2: Convert to fraction form
    67,194,589,140/143,973,568,363.50 = 143,973,568,363.50/x
  3. Step 3: Cross multiply
    67,194,589,140x = 143,973,568,363.50 × 143,973,568,363.50
  4. Step 4: Simplify right side
    67,194,589,140x = 20,728,388,387,319,408,754,688
  5. Step 5: Solve for x
    x = 20,728,388,387,319,408,754,688/67,194,589,140
  6. Step 6: Final answer
    x = 308,482,999,191.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.