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Finding the Third Proportional to 46,179,740 and 100,397,304

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Solution

The third proportional to 46,179,740 and 100,397,304 is: 218,269,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,740 : 100,397,304 = 100,397,304 : x
  2. Step 2: Convert to fraction form
    46,179,740/100,397,304 = 100,397,304/x
  3. Step 3: Cross multiply
    46,179,740x = 100,397,304 × 100,397,304
  4. Step 4: Simplify right side
    46,179,740x = 10,079,618,650,468,416
  5. Step 5: Solve for x
    x = 10,079,618,650,468,416/46,179,740
  6. Step 6: Final answer
    x = 218,269,281.08

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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.