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Finding the Third Proportional to 96,973,968 and 215,471,280

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Solution

The third proportional to 96,973,968 and 215,471,280 is: 478,766,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,968 : 215,471,280 = 215,471,280 : x
  2. Step 2: Convert to fraction form
    96,973,968/215,471,280 = 215,471,280/x
  3. Step 3: Cross multiply
    96,973,968x = 215,471,280 × 215,471,280
  4. Step 4: Simplify right side
    96,973,968x = 46,427,872,504,838,400
  5. Step 5: Solve for x
    x = 46,427,872,504,838,400/96,973,968
  6. Step 6: Final answer
    x = 478,766,347.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.