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Finding the Third Proportional to 99,534.56 and 214,907.06

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Solution

The third proportional to 99,534.56 and 214,907.06 is: 464,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534.56 : 214,907.06 = 214,907.06 : x
  2. Step 2: Convert to fraction form
    99,534.56/214,907.06 = 214,907.06/x
  3. Step 3: Cross multiply
    99,534.56x = 214,907.06 × 214,907.06
  4. Step 4: Simplify right side
    99,534.56x = 46,185,045,512.38
  5. Step 5: Solve for x
    x = 46,185,045,512.38/99,534.56
  6. Step 6: Final answer
    x = 464,010.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.