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Finding the Third Proportional to 96,131 and 210,355

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Solution

The third proportional to 96,131 and 210,355 is: 460,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,131 : 210,355 = 210,355 : x
  2. Step 2: Convert to fraction form
    96,131/210,355 = 210,355/x
  3. Step 3: Cross multiply
    96,131x = 210,355 × 210,355
  4. Step 4: Simplify right side
    96,131x = 44,249,226,025
  5. Step 5: Solve for x
    x = 44,249,226,025/96,131
  6. Step 6: Final answer
    x = 460,301.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.