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Finding the Third Proportional to 98,875.50 and 216,489

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Solution

The third proportional to 98,875.50 and 216,489 is: 474,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,875.50 : 216,489 = 216,489 : x
  2. Step 2: Convert to fraction form
    98,875.50/216,489 = 216,489/x
  3. Step 3: Cross multiply
    98,875.50x = 216,489 × 216,489
  4. Step 4: Simplify right side
    98,875.50x = 46,867,487,121
  5. Step 5: Solve for x
    x = 46,867,487,121/98,875.50
  6. Step 6: Final answer
    x = 474,005.06

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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.