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Finding the Third Proportional to 219,578,404.50 and 461,800,986.75

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Solution

The third proportional to 219,578,404.50 and 461,800,986.75 is: 971,225,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,578,404.50 : 461,800,986.75 = 461,800,986.75 : x
  2. Step 2: Convert to fraction form
    219,578,404.50/461,800,986.75 = 461,800,986.75/x
  3. Step 3: Cross multiply
    219,578,404.50x = 461,800,986.75 × 461,800,986.75
  4. Step 4: Simplify right side
    219,578,404.50x = 213,260,151,363,273,664
  5. Step 5: Solve for x
    x = 213,260,151,363,273,664/219,578,404.50
  6. Step 6: Final answer
    x = 971,225,525.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.