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Finding the Third Proportional to 100,698,709 and 155,496,422

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Solution

The third proportional to 100,698,709 and 155,496,422 is: 240,113,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,709 : 155,496,422 = 155,496,422 : x
  2. Step 2: Convert to fraction form
    100,698,709/155,496,422 = 155,496,422/x
  3. Step 3: Cross multiply
    100,698,709x = 155,496,422 × 155,496,422
  4. Step 4: Simplify right side
    100,698,709x = 24,179,137,254,802,084
  5. Step 5: Solve for x
    x = 24,179,137,254,802,084/100,698,709
  6. Step 6: Final answer
    x = 240,113,676.68

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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.