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Finding the Third Proportional to 211,041,828.75 and 465,019,449

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Solution

The third proportional to 211,041,828.75 and 465,019,449 is: 1,024,645,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,041,828.75 : 465,019,449 = 465,019,449 : x
  2. Step 2: Convert to fraction form
    211,041,828.75/465,019,449 = 465,019,449/x
  3. Step 3: Cross multiply
    211,041,828.75x = 465,019,449 × 465,019,449
  4. Step 4: Simplify right side
    211,041,828.75x = 216,243,087,948,263,616
  5. Step 5: Solve for x
    x = 216,243,087,948,263,616/211,041,828.75
  6. Step 6: Final answer
    x = 1,024,645,631.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.