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Finding the Third Proportional to 98,830.13 and 216,401.63

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Solution

The third proportional to 98,830.13 and 216,401.63 is: 473,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,830.13 : 216,401.63 = 216,401.63 : x
  2. Step 2: Convert to fraction form
    98,830.13/216,401.63 = 216,401.63/x
  3. Step 3: Cross multiply
    98,830.13x = 216,401.63 × 216,401.63
  4. Step 4: Simplify right side
    98,830.13x = 46,829,663,302.64
  5. Step 5: Solve for x
    x = 46,829,663,302.64/98,830.13
  6. Step 6: Final answer
    x = 473,839.97

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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.