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Finding the Third Proportional to 204,913,321,614 and 306,164,671,772.64

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Solution

The third proportional to 204,913,321,614 and 306,164,671,772.64 is: 457,446,131,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,913,321,614 : 306,164,671,772.64 = 306,164,671,772.64 : x
  2. Step 2: Convert to fraction form
    204,913,321,614/306,164,671,772.64 = 306,164,671,772.64/x
  3. Step 3: Cross multiply
    204,913,321,614x = 306,164,671,772.64 × 306,164,671,772.64
  4. Step 4: Simplify right side
    204,913,321,614x = 93,736,806,241,648,389,390,336
  5. Step 5: Solve for x
    x = 93,736,806,241,648,389,390,336/204,913,321,614
  6. Step 6: Final answer
    x = 457,446,131,385.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.