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Finding the Third Proportional to 69,694,832.25 and 143,864,266.50

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Solution

The third proportional to 69,694,832.25 and 143,864,266.50 is: 296,965,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,694,832.25 : 143,864,266.50 = 143,864,266.50 : x
  2. Step 2: Convert to fraction form
    69,694,832.25/143,864,266.50 = 143,864,266.50/x
  3. Step 3: Cross multiply
    69,694,832.25x = 143,864,266.50 × 143,864,266.50
  4. Step 4: Simplify right side
    69,694,832.25x = 20,696,927,175,583,024
  5. Step 5: Solve for x
    x = 20,696,927,175,583,024/69,694,832.25
  6. Step 6: Final answer
    x = 296,965,018.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.