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Finding the Third Proportional to 100,698,736 and 155,496,465

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Solution

The third proportional to 100,698,736 and 155,496,465 is: 240,113,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,736 : 155,496,465 = 155,496,465 : x
  2. Step 2: Convert to fraction form
    100,698,736/155,496,465 = 155,496,465/x
  3. Step 3: Cross multiply
    100,698,736x = 155,496,465 × 155,496,465
  4. Step 4: Simplify right side
    100,698,736x = 24,179,150,627,496,224
  5. Step 5: Solve for x
    x = 24,179,150,627,496,224/100,698,736
  6. Step 6: Final answer
    x = 240,113,745.10

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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.