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Finding the Third Proportional to 45,673 and 99,624.88

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Solution

The third proportional to 45,673 and 99,624.88 is: 217,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673 : 99,624.88 = 99,624.88 : x
  2. Step 2: Convert to fraction form
    45,673/99,624.88 = 99,624.88/x
  3. Step 3: Cross multiply
    45,673x = 99,624.88 × 99,624.88
  4. Step 4: Simplify right side
    45,673x = 9,925,115,718.77
  5. Step 5: Solve for x
    x = 9,925,115,718.77/45,673
  6. Step 6: Final answer
    x = 217,308.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.