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Finding the Third Proportional to 94,964 and 221,854

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Solution

The third proportional to 94,964 and 221,854 is: 518,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,964 : 221,854 = 221,854 : x
  2. Step 2: Convert to fraction form
    94,964/221,854 = 221,854/x
  3. Step 3: Cross multiply
    94,964x = 221,854 × 221,854
  4. Step 4: Simplify right side
    94,964x = 49,219,197,316
  5. Step 5: Solve for x
    x = 49,219,197,316/94,964
  6. Step 6: Final answer
    x = 518,293.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.