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Finding the Third Proportional to 98,527.50 and 216,117

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Solution

The third proportional to 98,527.50 and 216,117 is: 474,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,527.50 : 216,117 = 216,117 : x
  2. Step 2: Convert to fraction form
    98,527.50/216,117 = 216,117/x
  3. Step 3: Cross multiply
    98,527.50x = 216,117 × 216,117
  4. Step 4: Simplify right side
    98,527.50x = 46,706,557,689
  5. Step 5: Solve for x
    x = 46,706,557,689/98,527.50
  6. Step 6: Final answer
    x = 474,045.90

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Why These Related Problems?

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