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Finding the Third Proportional to 46,985,516 and 101,168,830

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Solution

The third proportional to 46,985,516 and 101,168,830 is: 217,835,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985,516 : 101,168,830 = 101,168,830 : x
  2. Step 2: Convert to fraction form
    46,985,516/101,168,830 = 101,168,830/x
  3. Step 3: Cross multiply
    46,985,516x = 101,168,830 × 101,168,830
  4. Step 4: Simplify right side
    46,985,516x = 10,235,132,163,568,900
  5. Step 5: Solve for x
    x = 10,235,132,163,568,900/46,985,516
  6. Step 6: Final answer
    x = 217,835,899.97

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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.