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Finding the Third Proportional to 211,421.39 and 456,092.02

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Solution

The third proportional to 211,421.39 and 456,092.02 is: 983,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,421.39 : 456,092.02 = 456,092.02 : x
  2. Step 2: Convert to fraction form
    211,421.39/456,092.02 = 456,092.02/x
  3. Step 3: Cross multiply
    211,421.39x = 456,092.02 × 456,092.02
  4. Step 4: Simplify right side
    211,421.39x = 208,019,926,716.88
  5. Step 5: Solve for x
    x = 208,019,926,716.88/211,421.39
  6. Step 6: Final answer
    x = 983,911.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.