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Finding the Third Proportional to 131,301 and 191,210.63

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Solution

The third proportional to 131,301 and 191,210.63 is: 278,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301 : 191,210.63 = 191,210.63 : x
  2. Step 2: Convert to fraction form
    131,301/191,210.63 = 191,210.63/x
  3. Step 3: Cross multiply
    131,301x = 191,210.63 × 191,210.63
  4. Step 4: Simplify right side
    131,301x = 36,561,503,112.89
  5. Step 5: Solve for x
    x = 36,561,503,112.89/131,301
  6. Step 6: Final answer
    x = 278,455.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.