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Finding the Third Proportional to 157,960.13 and 212,802.19

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Solution

The third proportional to 157,960.13 and 212,802.19 is: 286,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,960.13 : 212,802.19 = 212,802.19 : x
  2. Step 2: Convert to fraction form
    157,960.13/212,802.19 = 212,802.19/x
  3. Step 3: Cross multiply
    157,960.13x = 212,802.19 × 212,802.19
  4. Step 4: Simplify right side
    157,960.13x = 45,284,771,004.79
  5. Step 5: Solve for x
    x = 45,284,771,004.79/157,960.13
  6. Step 6: Final answer
    x = 286,684.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.