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Finding the Third Proportional to 93,394 and 215,989

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Solution

The third proportional to 93,394 and 215,989 is: 499,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,394 : 215,989 = 215,989 : x
  2. Step 2: Convert to fraction form
    93,394/215,989 = 215,989/x
  3. Step 3: Cross multiply
    93,394x = 215,989 × 215,989
  4. Step 4: Simplify right side
    93,394x = 46,651,248,121
  5. Step 5: Solve for x
    x = 46,651,248,121/93,394
  6. Step 6: Final answer
    x = 499,510.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.