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Finding the Third Proportional to 88,431.75 and 190,868.91

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Solution

The third proportional to 88,431.75 and 190,868.91 is: 411,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,431.75 : 190,868.91 = 190,868.91 : x
  2. Step 2: Convert to fraction form
    88,431.75/190,868.91 = 190,868.91/x
  3. Step 3: Cross multiply
    88,431.75x = 190,868.91 × 190,868.91
  4. Step 4: Simplify right side
    88,431.75x = 36,430,939,373.07
  5. Step 5: Solve for x
    x = 36,430,939,373.07/88,431.75
  6. Step 6: Final answer
    x = 411,966.74

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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.