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Finding the Third Proportional to 211,729,836 and 458,634,294

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Solution

The third proportional to 211,729,836 and 458,634,294 is: 993,461,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729,836 : 458,634,294 = 458,634,294 : x
  2. Step 2: Convert to fraction form
    211,729,836/458,634,294 = 458,634,294/x
  3. Step 3: Cross multiply
    211,729,836x = 458,634,294 × 458,634,294
  4. Step 4: Simplify right side
    211,729,836x = 210,345,415,632,878,432
  5. Step 5: Solve for x
    x = 210,345,415,632,878,432/211,729,836
  6. Step 6: Final answer
    x = 993,461,382.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.