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Finding the Third Proportional to 99,000 and 233,457.75

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Solution

The third proportional to 99,000 and 233,457.75 is: 550,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,000 : 233,457.75 = 233,457.75 : x
  2. Step 2: Convert to fraction form
    99,000/233,457.75 = 233,457.75/x
  3. Step 3: Cross multiply
    99,000x = 233,457.75 × 233,457.75
  4. Step 4: Simplify right side
    99,000x = 54,502,521,035.06
  5. Step 5: Solve for x
    x = 54,502,521,035.06/99,000
  6. Step 6: Final answer
    x = 550,530.52

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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.