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Finding the Third Proportional to 100,698,761 and 155,496,501

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Solution

The third proportional to 100,698,761 and 155,496,501 is: 240,113,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,761 : 155,496,501 = 155,496,501 : x
  2. Step 2: Convert to fraction form
    100,698,761/155,496,501 = 155,496,501/x
  3. Step 3: Cross multiply
    100,698,761x = 155,496,501 × 155,496,501
  4. Step 4: Simplify right side
    100,698,761x = 24,179,161,823,243,000
  5. Step 5: Solve for x
    x = 24,179,161,823,243,000/100,698,761
  6. Step 6: Final answer
    x = 240,113,796.67

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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.