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Finding the Third Proportional to 119,800,242 and 175,207,563

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Solution

The third proportional to 119,800,242 and 175,207,563 is: 256,240,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800,242 : 175,207,563 = 175,207,563 : x
  2. Step 2: Convert to fraction form
    119,800,242/175,207,563 = 175,207,563/x
  3. Step 3: Cross multiply
    119,800,242x = 175,207,563 × 175,207,563
  4. Step 4: Simplify right side
    119,800,242x = 30,697,690,132,398,968
  5. Step 5: Solve for x
    x = 30,697,690,132,398,968/119,800,242
  6. Step 6: Final answer
    x = 256,240,635.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.