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Finding the Third Proportional to 69,228,900 and 147,723,732

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Solution

The third proportional to 69,228,900 and 147,723,732 is: 315,219,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228,900 : 147,723,732 = 147,723,732 : x
  2. Step 2: Convert to fraction form
    69,228,900/147,723,732 = 147,723,732/x
  3. Step 3: Cross multiply
    69,228,900x = 147,723,732 × 147,723,732
  4. Step 4: Simplify right side
    69,228,900x = 21,822,300,996,007,824
  5. Step 5: Solve for x
    x = 21,822,300,996,007,824/69,228,900
  6. Step 6: Final answer
    x = 315,219,525.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.