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Finding the Third Proportional to 148,269,006 and 308,810,148

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Solution

The third proportional to 148,269,006 and 308,810,148 is: 643,180,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269,006 : 308,810,148 = 308,810,148 : x
  2. Step 2: Convert to fraction form
    148,269,006/308,810,148 = 308,810,148/x
  3. Step 3: Cross multiply
    148,269,006x = 308,810,148 × 308,810,148
  4. Step 4: Simplify right side
    148,269,006x = 95,363,707,507,781,904
  5. Step 5: Solve for x
    x = 95,363,707,507,781,904/148,269,006
  6. Step 6: Final answer
    x = 643,180,325.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.