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Finding the Third Proportional to 88,700 and 191,468

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Solution

The third proportional to 88,700 and 191,468 is: 413,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,700 : 191,468 = 191,468 : x
  2. Step 2: Convert to fraction form
    88,700/191,468 = 191,468/x
  3. Step 3: Cross multiply
    88,700x = 191,468 × 191,468
  4. Step 4: Simplify right side
    88,700x = 36,659,995,024
  5. Step 5: Solve for x
    x = 36,659,995,024/88,700
  6. Step 6: Final answer
    x = 413,303.21

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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.