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Finding the Third Proportional to 68,954,865 and 102,834,334.50

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Solution

The third proportional to 68,954,865 and 102,834,334.50 is: 153,359,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,954,865 : 102,834,334.50 = 102,834,334.50 : x
  2. Step 2: Convert to fraction form
    68,954,865/102,834,334.50 = 102,834,334.50/x
  3. Step 3: Cross multiply
    68,954,865x = 102,834,334.50 × 102,834,334.50
  4. Step 4: Simplify right side
    68,954,865x = 10,574,900,352,057,890
  5. Step 5: Solve for x
    x = 10,574,900,352,057,890/68,954,865
  6. Step 6: Final answer
    x = 153,359,742.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.