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Finding the Third Proportional to 83,163,955.50 and 129,282,113.81

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Solution

The third proportional to 83,163,955.50 and 129,282,113.81 is: 200,974,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163,955.50 : 129,282,113.81 = 129,282,113.81 : x
  2. Step 2: Convert to fraction form
    83,163,955.50/129,282,113.81 = 129,282,113.81/x
  3. Step 3: Cross multiply
    83,163,955.50x = 129,282,113.81 × 129,282,113.81
  4. Step 4: Simplify right side
    83,163,955.50x = 16,713,864,951,828,204
  5. Step 5: Solve for x
    x = 16,713,864,951,828,204/83,163,955.50
  6. Step 6: Final answer
    x = 200,974,867.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.