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Finding the Third Proportional to 45,929.38 and 98,419.63

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Solution

The third proportional to 45,929.38 and 98,419.63 is: 210,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,929.38 : 98,419.63 = 98,419.63 : x
  2. Step 2: Convert to fraction form
    45,929.38/98,419.63 = 98,419.63/x
  3. Step 3: Cross multiply
    45,929.38x = 98,419.63 × 98,419.63
  4. Step 4: Simplify right side
    45,929.38x = 9,686,422,585.14
  5. Step 5: Solve for x
    x = 9,686,422,585.14/45,929.38
  6. Step 6: Final answer
    x = 210,898.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.