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Finding the Third Proportional to 99,488 and 216,480

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Solution

The third proportional to 99,488 and 216,480 is: 471,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,488 : 216,480 = 216,480 : x
  2. Step 2: Convert to fraction form
    99,488/216,480 = 216,480/x
  3. Step 3: Cross multiply
    99,488x = 216,480 × 216,480
  4. Step 4: Simplify right side
    99,488x = 46,863,590,400
  5. Step 5: Solve for x
    x = 46,863,590,400/99,488
  6. Step 6: Final answer
    x = 471,047.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.