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Finding the Third Proportional to 91,829.32 and 141,899.66

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Solution

The third proportional to 91,829.32 and 141,899.66 is: 219,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829.32 : 141,899.66 = 141,899.66 : x
  2. Step 2: Convert to fraction form
    91,829.32/141,899.66 = 141,899.66/x
  3. Step 3: Cross multiply
    91,829.32x = 141,899.66 × 141,899.66
  4. Step 4: Simplify right side
    91,829.32x = 20,135,513,552.46
  5. Step 5: Solve for x
    x = 20,135,513,552.46/91,829.32
  6. Step 6: Final answer
    x = 219,271.07

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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.