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Finding the Third Proportional to 100,698,971 and 155,496,818

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Solution

The third proportional to 100,698,971 and 155,496,818 is: 240,114,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,971 : 155,496,818 = 155,496,818 : x
  2. Step 2: Convert to fraction form
    100,698,971/155,496,818 = 155,496,818/x
  3. Step 3: Cross multiply
    100,698,971x = 155,496,818 × 155,496,818
  4. Step 4: Simplify right side
    100,698,971x = 24,179,260,408,125,124
  5. Step 5: Solve for x
    x = 24,179,260,408,125,124/100,698,971
  6. Step 6: Final answer
    x = 240,114,274.93

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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.