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Finding the Third Proportional to 46,289,689 and 100,808,546

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Solution

The third proportional to 46,289,689 and 100,808,546 is: 219,538,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289,689 : 100,808,546 = 100,808,546 : x
  2. Step 2: Convert to fraction form
    46,289,689/100,808,546 = 100,808,546/x
  3. Step 3: Cross multiply
    46,289,689x = 100,808,546 × 100,808,546
  4. Step 4: Simplify right side
    46,289,689x = 10,162,362,946,634,116
  5. Step 5: Solve for x
    x = 10,162,362,946,634,116/46,289,689
  6. Step 6: Final answer
    x = 219,538,371.64

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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.