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Finding the Third Proportional to 106,525.55 and 233,094.80

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Solution

The third proportional to 106,525.55 and 233,094.80 is: 510,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.55 : 233,094.80 = 233,094.80 : x
  2. Step 2: Convert to fraction form
    106,525.55/233,094.80 = 233,094.80/x
  3. Step 3: Cross multiply
    106,525.55x = 233,094.80 × 233,094.80
  4. Step 4: Simplify right side
    106,525.55x = 54,333,184,330.20
  5. Step 5: Solve for x
    x = 54,333,184,330.20/106,525.55
  6. Step 6: Final answer
    x = 510,048.40

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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.