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Finding the Third Proportional to 45,262.69 and 96,373.13

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Solution

The third proportional to 45,262.69 and 96,373.13 is: 205,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,262.69 : 96,373.13 = 96,373.13 : x
  2. Step 2: Convert to fraction form
    45,262.69/96,373.13 = 96,373.13/x
  3. Step 3: Cross multiply
    45,262.69x = 96,373.13 × 96,373.13
  4. Step 4: Simplify right side
    45,262.69x = 9,287,779,222.27
  5. Step 5: Solve for x
    x = 9,287,779,222.27/45,262.69
  6. Step 6: Final answer
    x = 205,197.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.