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Finding the Third Proportional to 100,698,834 and 155,496,611

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Solution

The third proportional to 100,698,834 and 155,496,611 is: 240,113,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,834 : 155,496,611 = 155,496,611 : x
  2. Step 2: Convert to fraction form
    100,698,834/155,496,611 = 155,496,611/x
  3. Step 3: Cross multiply
    100,698,834x = 155,496,611 × 155,496,611
  4. Step 4: Simplify right side
    100,698,834x = 24,179,196,032,485,320
  5. Step 5: Solve for x
    x = 24,179,196,032,485,320/100,698,834
  6. Step 6: Final answer
    x = 240,113,962.32

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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.