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Finding the Third Proportional to 211,252,684 and 453,742,262

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Solution

The third proportional to 211,252,684 and 453,742,262 is: 974,577,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,252,684 : 453,742,262 = 453,742,262 : x
  2. Step 2: Convert to fraction form
    211,252,684/453,742,262 = 453,742,262/x
  3. Step 3: Cross multiply
    211,252,684x = 453,742,262 × 453,742,262
  4. Step 4: Simplify right side
    211,252,684x = 205,882,040,324,876,640
  5. Step 5: Solve for x
    x = 205,882,040,324,876,640/211,252,684
  6. Step 6: Final answer
    x = 974,577,157.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.