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Finding the Third Proportional to 190,435,428.75 and 268,175,047.50

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Solution

The third proportional to 190,435,428.75 and 268,175,047.50 is: 377,649,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,435,428.75 : 268,175,047.50 = 268,175,047.50 : x
  2. Step 2: Convert to fraction form
    190,435,428.75/268,175,047.50 = 268,175,047.50/x
  3. Step 3: Cross multiply
    190,435,428.75x = 268,175,047.50 × 268,175,047.50
  4. Step 4: Simplify right side
    190,435,428.75x = 71,917,856,101,627,256
  5. Step 5: Solve for x
    x = 71,917,856,101,627,256/190,435,428.75
  6. Step 6: Final answer
    x = 377,649,561.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.