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Finding the Third Proportional to 88,480 and 191,038

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Solution

The third proportional to 88,480 and 191,038 is: 412,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,480 : 191,038 = 191,038 : x
  2. Step 2: Convert to fraction form
    88,480/191,038 = 191,038/x
  3. Step 3: Cross multiply
    88,480x = 191,038 × 191,038
  4. Step 4: Simplify right side
    88,480x = 36,495,517,444
  5. Step 5: Solve for x
    x = 36,495,517,444/88,480
  6. Step 6: Final answer
    x = 412,471.94

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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.