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Finding the Third Proportional to 100,674,756 and 155,462,840

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Solution

The third proportional to 100,674,756 and 155,462,840 is: 240,067,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674,756 : 155,462,840 = 155,462,840 : x
  2. Step 2: Convert to fraction form
    100,674,756/155,462,840 = 155,462,840/x
  3. Step 3: Cross multiply
    100,674,756x = 155,462,840 × 155,462,840
  4. Step 4: Simplify right side
    100,674,756x = 24,168,694,620,865,600
  5. Step 5: Solve for x
    x = 24,168,694,620,865,600/100,674,756
  6. Step 6: Final answer
    x = 240,067,079.19

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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.