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Finding the Third Proportional to 191,972.81 and 417,795.19

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Solution

The third proportional to 191,972.81 and 417,795.19 is: 909,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,972.81 : 417,795.19 = 417,795.19 : x
  2. Step 2: Convert to fraction form
    191,972.81/417,795.19 = 417,795.19/x
  3. Step 3: Cross multiply
    191,972.81x = 417,795.19 × 417,795.19
  4. Step 4: Simplify right side
    191,972.81x = 174,552,818,698.16
  5. Step 5: Solve for x
    x = 174,552,818,698.16/191,972.81
  6. Step 6: Final answer
    x = 909,258.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.