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Finding the Third Proportional to 83,163,958 and 129,282,117

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Solution

The third proportional to 83,163,958 and 129,282,117 is: 200,974,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163,958 : 129,282,117 = 129,282,117 : x
  2. Step 2: Convert to fraction form
    83,163,958/129,282,117 = 129,282,117/x
  3. Step 3: Cross multiply
    83,163,958x = 129,282,117 × 129,282,117
  4. Step 4: Simplify right side
    83,163,958x = 16,713,865,776,001,688
  5. Step 5: Solve for x
    x = 16,713,865,776,001,688/83,163,958
  6. Step 6: Final answer
    x = 200,974,871.54

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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.