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Finding the Third Proportional to 69,850,449.38 and 146,940,962.63

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Solution

The third proportional to 69,850,449.38 and 146,940,962.63 is: 309,112,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,850,449.38 : 146,940,962.63 = 146,940,962.63 : x
  2. Step 2: Convert to fraction form
    69,850,449.38/146,940,962.63 = 146,940,962.63/x
  3. Step 3: Cross multiply
    69,850,449.38x = 146,940,962.63 × 146,940,962.63
  4. Step 4: Simplify right side
    69,850,449.38x = 21,591,646,497,161,648
  5. Step 5: Solve for x
    x = 21,591,646,497,161,648/69,850,449.38
  6. Step 6: Final answer
    x = 309,112,492.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.