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Finding the Third Proportional to 98,145.90 and 151,543.72

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Solution

The third proportional to 98,145.90 and 151,543.72 is: 233,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.90 : 151,543.72 = 151,543.72 : x
  2. Step 2: Convert to fraction form
    98,145.90/151,543.72 = 151,543.72/x
  3. Step 3: Cross multiply
    98,145.90x = 151,543.72 × 151,543.72
  4. Step 4: Simplify right side
    98,145.90x = 22,965,499,876.51
  5. Step 5: Solve for x
    x = 22,965,499,876.51/98,145.90
  6. Step 6: Final answer
    x = 233,993.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.