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Finding the Third Proportional to 220,466,306 and 514,945,061

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Solution

The third proportional to 220,466,306 and 514,945,061 is: 1,202,761,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,466,306 : 514,945,061 = 514,945,061 : x
  2. Step 2: Convert to fraction form
    220,466,306/514,945,061 = 514,945,061/x
  3. Step 3: Cross multiply
    220,466,306x = 514,945,061 × 514,945,061
  4. Step 4: Simplify right side
    220,466,306x = 265,168,415,848,293,728
  5. Step 5: Solve for x
    x = 265,168,415,848,293,728/220,466,306
  6. Step 6: Final answer
    x = 1,202,761,640.36

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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.