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Finding the Third Proportional to 99,154.13 and 151,054.88

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Solution

The third proportional to 99,154.13 and 151,054.88 is: 230,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,154.13 : 151,054.88 = 151,054.88 : x
  2. Step 2: Convert to fraction form
    99,154.13/151,054.88 = 151,054.88/x
  3. Step 3: Cross multiply
    99,154.13x = 151,054.88 × 151,054.88
  4. Step 4: Simplify right side
    99,154.13x = 22,817,575,261.27
  5. Step 5: Solve for x
    x = 22,817,575,261.27/99,154.13
  6. Step 6: Final answer
    x = 230,122.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.