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Finding the Third Proportional to 45,495 and 98,722.13

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Solution

The third proportional to 45,495 and 98,722.13 is: 214,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,495 : 98,722.13 = 98,722.13 : x
  2. Step 2: Convert to fraction form
    45,495/98,722.13 = 98,722.13/x
  3. Step 3: Cross multiply
    45,495x = 98,722.13 × 98,722.13
  4. Step 4: Simplify right side
    45,495x = 9,746,057,964.52
  5. Step 5: Solve for x
    x = 9,746,057,964.52/45,495
  6. Step 6: Final answer
    x = 214,222.62

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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.