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Finding the Third Proportional to 136,043.93 and 288,303.84

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Solution

The third proportional to 136,043.93 and 288,303.84 is: 610,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,043.93 : 288,303.84 = 288,303.84 : x
  2. Step 2: Convert to fraction form
    136,043.93/288,303.84 = 288,303.84/x
  3. Step 3: Cross multiply
    136,043.93x = 288,303.84 × 288,303.84
  4. Step 4: Simplify right side
    136,043.93x = 83,119,102,942.46
  5. Step 5: Solve for x
    x = 83,119,102,942.46/136,043.93
  6. Step 6: Final answer
    x = 610,972.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.