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Finding the Third Proportional to 146,139,735 and 318,005,946

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Solution

The third proportional to 146,139,735 and 318,005,946 is: 691,993,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139,735 : 318,005,946 = 318,005,946 : x
  2. Step 2: Convert to fraction form
    146,139,735/318,005,946 = 318,005,946/x
  3. Step 3: Cross multiply
    146,139,735x = 318,005,946 × 318,005,946
  4. Step 4: Simplify right side
    146,139,735x = 101,127,781,691,354,912
  5. Step 5: Solve for x
    x = 101,127,781,691,354,912/146,139,735
  6. Step 6: Final answer
    x = 691,993,739.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.