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Finding the Third Proportional to 186,544,506.96 and 399,294,083.62

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Solution

The third proportional to 186,544,506.96 and 399,294,083.62 is: 854,679,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,544,506.96 : 399,294,083.62 = 399,294,083.62 : x
  2. Step 2: Convert to fraction form
    186,544,506.96/399,294,083.62 = 399,294,083.62/x
  3. Step 3: Cross multiply
    186,544,506.96x = 399,294,083.62 × 399,294,083.62
  4. Step 4: Simplify right side
    186,544,506.96x = 159,435,765,213,248,800
  5. Step 5: Solve for x
    x = 159,435,765,213,248,800/186,544,506.96
  6. Step 6: Final answer
    x = 854,679,496.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.