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Finding the Third Proportional to 99,036 and 233,712

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Solution

The third proportional to 99,036 and 233,712 is: 551,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036 : 233,712 = 233,712 : x
  2. Step 2: Convert to fraction form
    99,036/233,712 = 233,712/x
  3. Step 3: Cross multiply
    99,036x = 233,712 × 233,712
  4. Step 4: Simplify right side
    99,036x = 54,621,298,944
  5. Step 5: Solve for x
    x = 54,621,298,944/99,036
  6. Step 6: Final answer
    x = 551,529.74

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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.