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Finding the Third Proportional to 45,332 and 98,196

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Solution

The third proportional to 45,332 and 98,196 is: 212,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,332 : 98,196 = 98,196 : x
  2. Step 2: Convert to fraction form
    45,332/98,196 = 98,196/x
  3. Step 3: Cross multiply
    45,332x = 98,196 × 98,196
  4. Step 4: Simplify right side
    45,332x = 9,642,454,416
  5. Step 5: Solve for x
    x = 9,642,454,416/45,332
  6. Step 6: Final answer
    x = 212,707.46

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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.