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Finding the Third Proportional to 100,698,972 and 155,496,827

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Solution

The third proportional to 100,698,972 and 155,496,827 is: 240,114,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,972 : 155,496,827 = 155,496,827 : x
  2. Step 2: Convert to fraction form
    100,698,972/155,496,827 = 155,496,827/x
  3. Step 3: Cross multiply
    100,698,972x = 155,496,827 × 155,496,827
  4. Step 4: Simplify right side
    100,698,972x = 24,179,263,207,067,928
  5. Step 5: Solve for x
    x = 24,179,263,207,067,928/100,698,972
  6. Step 6: Final answer
    x = 240,114,300.34

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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.