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Finding the Third Proportional to 46,985,600 and 101,169,004

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Solution

The third proportional to 46,985,600 and 101,169,004 is: 217,836,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985,600 : 101,169,004 = 101,169,004 : x
  2. Step 2: Convert to fraction form
    46,985,600/101,169,004 = 101,169,004/x
  3. Step 3: Cross multiply
    46,985,600x = 101,169,004 × 101,169,004
  4. Step 4: Simplify right side
    46,985,600x = 10,235,167,370,352,016
  5. Step 5: Solve for x
    x = 10,235,167,370,352,016/46,985,600
  6. Step 6: Final answer
    x = 217,836,259.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.