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Finding the Third Proportional to 211,784,682 and 309,549,378.50

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Solution

The third proportional to 211,784,682 and 309,549,378.50 is: 452,444,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784,682 : 309,549,378.50 = 309,549,378.50 : x
  2. Step 2: Convert to fraction form
    211,784,682/309,549,378.50 = 309,549,378.50/x
  3. Step 3: Cross multiply
    211,784,682x = 309,549,378.50 × 309,549,378.50
  4. Step 4: Simplify right side
    211,784,682x = 95,820,817,729,736,256
  5. Step 5: Solve for x
    x = 95,820,817,729,736,256/211,784,682
  6. Step 6: Final answer
    x = 452,444,514.99

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