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Finding the Third Proportional to 100,698,837 and 155,496,623

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Solution

The third proportional to 100,698,837 and 155,496,623 is: 240,113,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,837 : 155,496,623 = 155,496,623 : x
  2. Step 2: Convert to fraction form
    100,698,837/155,496,623 = 155,496,623/x
  3. Step 3: Cross multiply
    100,698,837x = 155,496,623 × 155,496,623
  4. Step 4: Simplify right side
    100,698,837x = 24,179,199,764,404,128
  5. Step 5: Solve for x
    x = 24,179,199,764,404,128/100,698,837
  6. Step 6: Final answer
    x = 240,113,992.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.