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Finding the Third Proportional to 185,744,905.50 and 400,574,658

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Solution

The third proportional to 185,744,905.50 and 400,574,658 is: 863,873,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,744,905.50 : 400,574,658 = 400,574,658 : x
  2. Step 2: Convert to fraction form
    185,744,905.50/400,574,658 = 400,574,658/x
  3. Step 3: Cross multiply
    185,744,905.50x = 400,574,658 × 400,574,658
  4. Step 4: Simplify right side
    185,744,905.50x = 160,460,056,631,816,960
  5. Step 5: Solve for x
    x = 160,460,056,631,816,960/185,744,905.50
  6. Step 6: Final answer
    x = 863,873,257.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.