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Finding the Third Proportional to 220,466,304 and 514,945,056

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Solution

The third proportional to 220,466,304 and 514,945,056 is: 1,202,761,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,466,304 : 514,945,056 = 514,945,056 : x
  2. Step 2: Convert to fraction form
    220,466,304/514,945,056 = 514,945,056/x
  3. Step 3: Cross multiply
    220,466,304x = 514,945,056 × 514,945,056
  4. Step 4: Simplify right side
    220,466,304x = 265,168,410,698,843,136
  5. Step 5: Solve for x
    x = 265,168,410,698,843,136/220,466,304
  6. Step 6: Final answer
    x = 1,202,761,627.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.