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Finding the Third Proportional to 97,148.25 and 229,001.25

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Solution

The third proportional to 97,148.25 and 229,001.25 is: 539,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,148.25 : 229,001.25 = 229,001.25 : x
  2. Step 2: Convert to fraction form
    97,148.25/229,001.25 = 229,001.25/x
  3. Step 3: Cross multiply
    97,148.25x = 229,001.25 × 229,001.25
  4. Step 4: Simplify right side
    97,148.25x = 52,441,572,501.56
  5. Step 5: Solve for x
    x = 52,441,572,501.56/97,148.25
  6. Step 6: Final answer
    x = 539,809.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.