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Finding the Third Proportional to 93,787 and 216,929

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Solution

The third proportional to 93,787 and 216,929 is: 501,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,787 : 216,929 = 216,929 : x
  2. Step 2: Convert to fraction form
    93,787/216,929 = 216,929/x
  3. Step 3: Cross multiply
    93,787x = 216,929 × 216,929
  4. Step 4: Simplify right side
    93,787x = 47,058,191,041
  5. Step 5: Solve for x
    x = 47,058,191,041/93,787
  6. Step 6: Final answer
    x = 501,756.01

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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.