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Finding the Third Proportional to 46,985,514 and 101,168,826

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Solution

The third proportional to 46,985,514 and 101,168,826 is: 217,835,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985,514 : 101,168,826 = 101,168,826 : x
  2. Step 2: Convert to fraction form
    46,985,514/101,168,826 = 101,168,826/x
  3. Step 3: Cross multiply
    46,985,514x = 101,168,826 × 101,168,826
  4. Step 4: Simplify right side
    46,985,514x = 10,235,131,354,218,276
  5. Step 5: Solve for x
    x = 10,235,131,354,218,276/46,985,514
  6. Step 6: Final answer
    x = 217,835,892.02

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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.