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Finding the Third Proportional to 78,909.19 and 168,125.06

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Solution

The third proportional to 78,909.19 and 168,125.06 is: 358,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,909.19 : 168,125.06 = 168,125.06 : x
  2. Step 2: Convert to fraction form
    78,909.19/168,125.06 = 168,125.06/x
  3. Step 3: Cross multiply
    78,909.19x = 168,125.06 × 168,125.06
  4. Step 4: Simplify right side
    78,909.19x = 28,266,036,640.63
  5. Step 5: Solve for x
    x = 28,266,036,640.63/78,909.19
  6. Step 6: Final answer
    x = 358,209.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.