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Finding the Third Proportional to 114,223,765.50 and 174,012,531.75

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Solution

The third proportional to 114,223,765.50 and 174,012,531.75 is: 265,096,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223,765.50 : 174,012,531.75 = 174,012,531.75 : x
  2. Step 2: Convert to fraction form
    114,223,765.50/174,012,531.75 = 174,012,531.75/x
  3. Step 3: Cross multiply
    114,223,765.50x = 174,012,531.75 × 174,012,531.75
  4. Step 4: Simplify right side
    114,223,765.50x = 30,280,361,206,044,760
  5. Step 5: Solve for x
    x = 30,280,361,206,044,760/114,223,765.50
  6. Step 6: Final answer
    x = 265,096,856.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.