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Finding the Third Proportional to 99,054.75 and 233,637.75

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Solution

The third proportional to 99,054.75 and 233,637.75 is: 551,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,054.75 : 233,637.75 = 233,637.75 : x
  2. Step 2: Convert to fraction form
    99,054.75/233,637.75 = 233,637.75/x
  3. Step 3: Cross multiply
    99,054.75x = 233,637.75 × 233,637.75
  4. Step 4: Simplify right side
    99,054.75x = 54,586,598,225.06
  5. Step 5: Solve for x
    x = 54,586,598,225.06/99,054.75
  6. Step 6: Final answer
    x = 551,075.02

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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.