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Finding the Third Proportional to 83,163,973.50 and 129,282,141

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Solution

The third proportional to 83,163,973.50 and 129,282,141 is: 200,974,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163,973.50 : 129,282,141 = 129,282,141 : x
  2. Step 2: Convert to fraction form
    83,163,973.50/129,282,141 = 129,282,141/x
  3. Step 3: Cross multiply
    83,163,973.50x = 129,282,141 × 129,282,141
  4. Step 4: Simplify right side
    83,163,973.50x = 16,713,871,981,543,880
  5. Step 5: Solve for x
    x = 16,713,871,981,543,880/83,163,973.50
  6. Step 6: Final answer
    x = 200,974,908.70

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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.