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Finding the Third Proportional to 113,856,909.75 and 174,928,553.25

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Solution

The third proportional to 113,856,909.75 and 174,928,553.25 is: 268,758,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856,909.75 : 174,928,553.25 = 174,928,553.25 : x
  2. Step 2: Convert to fraction form
    113,856,909.75/174,928,553.25 = 174,928,553.25/x
  3. Step 3: Cross multiply
    113,856,909.75x = 174,928,553.25 × 174,928,553.25
  4. Step 4: Simplify right side
    113,856,909.75x = 30,599,998,742,138,084
  5. Step 5: Solve for x
    x = 30,599,998,742,138,084/113,856,909.75
  6. Step 6: Final answer
    x = 268,758,381.11

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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.