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Finding the Third Proportional to 239,136,336 and 514,948,896

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Solution

The third proportional to 239,136,336 and 514,948,896 is: 1,108,875,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,136,336 : 514,948,896 = 514,948,896 : x
  2. Step 2: Convert to fraction form
    239,136,336/514,948,896 = 514,948,896/x
  3. Step 3: Cross multiply
    239,136,336x = 514,948,896 × 514,948,896
  4. Step 4: Simplify right side
    239,136,336x = 265,172,365,491,618,816
  5. Step 5: Solve for x
    x = 265,172,365,491,618,816/239,136,336
  6. Step 6: Final answer
    x = 1,108,875,254.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.