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Finding the Third Proportional to 46,245,880 and 101,646,840

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Solution

The third proportional to 46,245,880 and 101,646,840 is: 223,416,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,245,880 : 101,646,840 = 101,646,840 : x
  2. Step 2: Convert to fraction form
    46,245,880/101,646,840 = 101,646,840/x
  3. Step 3: Cross multiply
    46,245,880x = 101,646,840 × 101,646,840
  4. Step 4: Simplify right side
    46,245,880x = 10,332,080,081,985,600
  5. Step 5: Solve for x
    x = 10,332,080,081,985,600/46,245,880
  6. Step 6: Final answer
    x = 223,416,228.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.