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Finding the Third Proportional to 100,698,914 and 155,496,731

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Solution

The third proportional to 100,698,914 and 155,496,731 is: 240,114,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,914 : 155,496,731 = 155,496,731 : x
  2. Step 2: Convert to fraction form
    100,698,914/155,496,731 = 155,496,731/x
  3. Step 3: Cross multiply
    100,698,914x = 155,496,731 × 155,496,731
  4. Step 4: Simplify right side
    100,698,914x = 24,179,233,351,686,360
  5. Step 5: Solve for x
    x = 24,179,233,351,686,360/100,698,914
  6. Step 6: Final answer
    x = 240,114,142.16

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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.