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Finding the Third Proportional to 46,413,256 and 100,540,304

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Solution

The third proportional to 46,413,256 and 100,540,304 is: 217,790,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413,256 : 100,540,304 = 100,540,304 : x
  2. Step 2: Convert to fraction form
    46,413,256/100,540,304 = 100,540,304/x
  3. Step 3: Cross multiply
    46,413,256x = 100,540,304 × 100,540,304
  4. Step 4: Simplify right side
    46,413,256x = 10,108,352,728,412,416
  5. Step 5: Solve for x
    x = 10,108,352,728,412,416/46,413,256
  6. Step 6: Final answer
    x = 217,790,209.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.