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Finding the Third Proportional to 99,004 and 233,632

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Solution

The third proportional to 99,004 and 233,632 is: 551,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,004 : 233,632 = 233,632 : x
  2. Step 2: Convert to fraction form
    99,004/233,632 = 233,632/x
  3. Step 3: Cross multiply
    99,004x = 233,632 × 233,632
  4. Step 4: Simplify right side
    99,004x = 54,583,911,424
  5. Step 5: Solve for x
    x = 54,583,911,424/99,004
  6. Step 6: Final answer
    x = 551,330.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.