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Finding the Third Proportional to 119,827.95 and 186,950.06

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Solution

The third proportional to 119,827.95 and 186,950.06 is: 291,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,827.95 : 186,950.06 = 186,950.06 : x
  2. Step 2: Convert to fraction form
    119,827.95/186,950.06 = 186,950.06/x
  3. Step 3: Cross multiply
    119,827.95x = 186,950.06 × 186,950.06
  4. Step 4: Simplify right side
    119,827.95x = 34,950,323,677.93
  5. Step 5: Solve for x
    x = 34,950,323,677.93/119,827.95
  6. Step 6: Final answer
    x = 291,670.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.