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Finding the Third Proportional to 97,156.13 and 209,071.13

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Solution

The third proportional to 97,156.13 and 209,071.13 is: 449,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,156.13 : 209,071.13 = 209,071.13 : x
  2. Step 2: Convert to fraction form
    97,156.13/209,071.13 = 209,071.13/x
  3. Step 3: Cross multiply
    97,156.13x = 209,071.13 × 209,071.13
  4. Step 4: Simplify right side
    97,156.13x = 43,710,735,308.77
  5. Step 5: Solve for x
    x = 43,710,735,308.77/97,156.13
  6. Step 6: Final answer
    x = 449,902.00

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Why These Related Problems?

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