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Finding the Third Proportional to 46,370,328 and 101,698,608

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Solution

The third proportional to 46,370,328 and 101,698,608 is: 223,043,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,370,328 : 101,698,608 = 101,698,608 : x
  2. Step 2: Convert to fraction form
    46,370,328/101,698,608 = 101,698,608/x
  3. Step 3: Cross multiply
    46,370,328x = 101,698,608 × 101,698,608
  4. Step 4: Simplify right side
    46,370,328x = 10,342,606,869,137,664
  5. Step 5: Solve for x
    x = 10,342,606,869,137,664/46,370,328
  6. Step 6: Final answer
    x = 223,043,642.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.