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Finding the Third Proportional to 97,501.13 and 209,554.88

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Solution

The third proportional to 97,501.13 and 209,554.88 is: 450,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,501.13 : 209,554.88 = 209,554.88 : x
  2. Step 2: Convert to fraction form
    97,501.13/209,554.88 = 209,554.88/x
  3. Step 3: Cross multiply
    97,501.13x = 209,554.88 × 209,554.88
  4. Step 4: Simplify right side
    97,501.13x = 43,913,245,636.27
  5. Step 5: Solve for x
    x = 43,913,245,636.27/97,501.13
  6. Step 6: Final answer
    x = 450,387.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.