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Finding the Third Proportional to 183,664,125 and 399,611,974.50

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Solution

The third proportional to 183,664,125 and 399,611,974.50 is: 869,466,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,664,125 : 399,611,974.50 = 399,611,974.50 : x
  2. Step 2: Convert to fraction form
    183,664,125/399,611,974.50 = 399,611,974.50/x
  3. Step 3: Cross multiply
    183,664,125x = 399,611,974.50 × 399,611,974.50
  4. Step 4: Simplify right side
    183,664,125x = 159,689,730,163,788,640
  5. Step 5: Solve for x
    x = 159,689,730,163,788,640/183,664,125
  6. Step 6: Final answer
    x = 869,466,098.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.