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Finding the Third Proportional to 147,890,872 and 319,164,824

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Solution

The third proportional to 147,890,872 and 319,164,824 is: 688,792,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890,872 : 319,164,824 = 319,164,824 : x
  2. Step 2: Convert to fraction form
    147,890,872/319,164,824 = 319,164,824/x
  3. Step 3: Cross multiply
    147,890,872x = 319,164,824 × 319,164,824
  4. Step 4: Simplify right side
    147,890,872x = 101,866,184,878,950,976
  5. Step 5: Solve for x
    x = 101,866,184,878,950,976/147,890,872
  6. Step 6: Final answer
    x = 688,792,915.35

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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.