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Finding the Third Proportional to 69,584,192 and 148,126,336

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Solution

The third proportional to 69,584,192 and 148,126,336 is: 315,321,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584,192 : 148,126,336 = 148,126,336 : x
  2. Step 2: Convert to fraction form
    69,584,192/148,126,336 = 148,126,336/x
  3. Step 3: Cross multiply
    69,584,192x = 148,126,336 × 148,126,336
  4. Step 4: Simplify right side
    69,584,192x = 21,941,411,416,784,896
  5. Step 5: Solve for x
    x = 21,941,411,416,784,896/69,584,192
  6. Step 6: Final answer
    x = 315,321,781.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.