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Finding the Third Proportional to 130,902.75 and 197,447.63

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Solution

The third proportional to 130,902.75 and 197,447.63 is: 297,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,902.75 : 197,447.63 = 197,447.63 : x
  2. Step 2: Convert to fraction form
    130,902.75/197,447.63 = 197,447.63/x
  3. Step 3: Cross multiply
    130,902.75x = 197,447.63 × 197,447.63
  4. Step 4: Simplify right side
    130,902.75x = 38,985,564,618.14
  5. Step 5: Solve for x
    x = 38,985,564,618.14/130,902.75
  6. Step 6: Final answer
    x = 297,820.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.