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Finding the Third Proportional to 113,286,133.50 and 174,933,612.50

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Solution

The third proportional to 113,286,133.50 and 174,933,612.50 is: 270,128,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,286,133.50 : 174,933,612.50 = 174,933,612.50 : x
  2. Step 2: Convert to fraction form
    113,286,133.50/174,933,612.50 = 174,933,612.50/x
  3. Step 3: Cross multiply
    113,286,133.50x = 174,933,612.50 × 174,933,612.50
  4. Step 4: Simplify right side
    113,286,133.50x = 30,601,768,782,300,156
  5. Step 5: Solve for x
    x = 30,601,768,782,300,156/113,286,133.50
  6. Step 6: Final answer
    x = 270,128,106.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.