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Finding the Third Proportional to 88,258.50 and 191,007

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Solution

The third proportional to 88,258.50 and 191,007 is: 413,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,258.50 : 191,007 = 191,007 : x
  2. Step 2: Convert to fraction form
    88,258.50/191,007 = 191,007/x
  3. Step 3: Cross multiply
    88,258.50x = 191,007 × 191,007
  4. Step 4: Simplify right side
    88,258.50x = 36,483,674,049
  5. Step 5: Solve for x
    x = 36,483,674,049/88,258.50
  6. Step 6: Final answer
    x = 413,372.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.