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Finding the Third Proportional to 98,885.81 and 216,381.38

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Solution

The third proportional to 98,885.81 and 216,381.38 is: 473,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,885.81 : 216,381.38 = 216,381.38 : x
  2. Step 2: Convert to fraction form
    98,885.81/216,381.38 = 216,381.38/x
  3. Step 3: Cross multiply
    98,885.81x = 216,381.38 × 216,381.38
  4. Step 4: Simplify right side
    98,885.81x = 46,820,899,446.89
  5. Step 5: Solve for x
    x = 46,820,899,446.89/98,885.81
  6. Step 6: Final answer
    x = 473,484.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.