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Finding the Third Proportional to 121,812.19 and 293,459.63

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Solution

The third proportional to 121,812.19 and 293,459.63 is: 706,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,812.19 : 293,459.63 = 293,459.63 : x
  2. Step 2: Convert to fraction form
    121,812.19/293,459.63 = 293,459.63/x
  3. Step 3: Cross multiply
    121,812.19x = 293,459.63 × 293,459.63
  4. Step 4: Simplify right side
    121,812.19x = 86,118,551,505.14
  5. Step 5: Solve for x
    x = 86,118,551,505.14/121,812.19
  6. Step 6: Final answer
    x = 706,978.12

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.