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Finding the Third Proportional to 219,911,844 and 323,136,216

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Solution

The third proportional to 219,911,844 and 323,136,216 is: 474,813,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,911,844 : 323,136,216 = 323,136,216 : x
  2. Step 2: Convert to fraction form
    219,911,844/323,136,216 = 323,136,216/x
  3. Step 3: Cross multiply
    219,911,844x = 323,136,216 × 323,136,216
  4. Step 4: Simplify right side
    219,911,844x = 104,417,014,090,798,656
  5. Step 5: Solve for x
    x = 104,417,014,090,798,656/219,911,844
  6. Step 6: Final answer
    x = 474,813,053.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.