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Finding the Third Proportional to 100,698,824 and 155,496,596

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Solution

The third proportional to 100,698,824 and 155,496,596 is: 240,113,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,824 : 155,496,596 = 155,496,596 : x
  2. Step 2: Convert to fraction form
    100,698,824/155,496,596 = 155,496,596/x
  3. Step 3: Cross multiply
    100,698,824x = 155,496,596 × 155,496,596
  4. Step 4: Simplify right side
    100,698,824x = 24,179,191,367,587,216
  5. Step 5: Solve for x
    x = 24,179,191,367,587,216/100,698,824
  6. Step 6: Final answer
    x = 240,113,939.84

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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.