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Finding the Third Proportional to 45,326.50 and 97,209

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Solution

The third proportional to 45,326.50 and 97,209 is: 208,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326.50 : 97,209 = 97,209 : x
  2. Step 2: Convert to fraction form
    45,326.50/97,209 = 97,209/x
  3. Step 3: Cross multiply
    45,326.50x = 97,209 × 97,209
  4. Step 4: Simplify right side
    45,326.50x = 9,449,589,681
  5. Step 5: Solve for x
    x = 9,449,589,681/45,326.50
  6. Step 6: Final answer
    x = 208,478.26

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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.