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Finding the Third Proportional to 160,874,928 and 344,423,808

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Solution

The third proportional to 160,874,928 and 344,423,808 is: 737,391,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,874,928 : 344,423,808 = 344,423,808 : x
  2. Step 2: Convert to fraction form
    160,874,928/344,423,808 = 344,423,808/x
  3. Step 3: Cross multiply
    160,874,928x = 344,423,808 × 344,423,808
  4. Step 4: Simplify right side
    160,874,928x = 118,627,759,517,220,864
  5. Step 5: Solve for x
    x = 118,627,759,517,220,864/160,874,928
  6. Step 6: Final answer
    x = 737,391,220.57

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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.