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Finding the Third Proportional to 200,429,376 and 419,184,706.50

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Solution

The third proportional to 200,429,376 and 419,184,706.50 is: 876,696,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,376 : 419,184,706.50 = 419,184,706.50 : x
  2. Step 2: Convert to fraction form
    200,429,376/419,184,706.50 = 419,184,706.50/x
  3. Step 3: Cross multiply
    200,429,376x = 419,184,706.50 × 419,184,706.50
  4. Step 4: Simplify right side
    200,429,376x = 175,715,818,163,491,136
  5. Step 5: Solve for x
    x = 175,715,818,163,491,136/200,429,376
  6. Step 6: Final answer
    x = 876,696,927.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.