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Finding the Third Proportional to 100,698,729 and 155,496,452

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Solution

The third proportional to 100,698,729 and 155,496,452 is: 240,113,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,729 : 155,496,452 = 155,496,452 : x
  2. Step 2: Convert to fraction form
    100,698,729/155,496,452 = 155,496,452/x
  3. Step 3: Cross multiply
    100,698,729x = 155,496,452 × 155,496,452
  4. Step 4: Simplify right side
    100,698,729x = 24,179,146,584,588,304
  5. Step 5: Solve for x
    x = 24,179,146,584,588,304/100,698,729
  6. Step 6: Final answer
    x = 240,113,721.64

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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.