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Finding the Third Proportional to 98,051.45 and 151,510.97

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Solution

The third proportional to 98,051.45 and 151,510.97 is: 234,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.45 : 151,510.97 = 151,510.97 : x
  2. Step 2: Convert to fraction form
    98,051.45/151,510.97 = 151,510.97/x
  3. Step 3: Cross multiply
    98,051.45x = 151,510.97 × 151,510.97
  4. Step 4: Simplify right side
    98,051.45x = 22,955,575,427.08
  5. Step 5: Solve for x
    x = 22,955,575,427.08/98,051.45
  6. Step 6: Final answer
    x = 234,117.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.