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Finding the Third Proportional to 98,219 and 215,553

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Solution

The third proportional to 98,219 and 215,553 is: 473,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219 : 215,553 = 215,553 : x
  2. Step 2: Convert to fraction form
    98,219/215,553 = 215,553/x
  3. Step 3: Cross multiply
    98,219x = 215,553 × 215,553
  4. Step 4: Simplify right side
    98,219x = 46,463,095,809
  5. Step 5: Solve for x
    x = 46,463,095,809/98,219
  6. Step 6: Final answer
    x = 473,056.09

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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.