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Finding the Third Proportional to 99,878.50 and 216,389

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Solution

The third proportional to 99,878.50 and 216,389 is: 468,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,878.50 : 216,389 = 216,389 : x
  2. Step 2: Convert to fraction form
    99,878.50/216,389 = 216,389/x
  3. Step 3: Cross multiply
    99,878.50x = 216,389 × 216,389
  4. Step 4: Simplify right side
    99,878.50x = 46,824,199,321
  5. Step 5: Solve for x
    x = 46,824,199,321/99,878.50
  6. Step 6: Final answer
    x = 468,811.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.