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Finding the Third Proportional to 100,698,729 and 155,496,454

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Solution

The third proportional to 100,698,729 and 155,496,454 is: 240,113,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,729 : 155,496,454 = 155,496,454 : x
  2. Step 2: Convert to fraction form
    100,698,729/155,496,454 = 155,496,454/x
  3. Step 3: Cross multiply
    100,698,729x = 155,496,454 × 155,496,454
  4. Step 4: Simplify right side
    100,698,729x = 24,179,147,206,574,116
  5. Step 5: Solve for x
    x = 24,179,147,206,574,116/100,698,729
  6. Step 6: Final answer
    x = 240,113,727.82

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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.