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Finding the Third Proportional to 97,439.63 and 213,482.25

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Solution

The third proportional to 97,439.63 and 213,482.25 is: 467,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,439.63 : 213,482.25 = 213,482.25 : x
  2. Step 2: Convert to fraction form
    97,439.63/213,482.25 = 213,482.25/x
  3. Step 3: Cross multiply
    97,439.63x = 213,482.25 × 213,482.25
  4. Step 4: Simplify right side
    97,439.63x = 45,574,671,065.06
  5. Step 5: Solve for x
    x = 45,574,671,065.06/97,439.63
  6. Step 6: Final answer
    x = 467,722.15

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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.