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Finding the Third Proportional to 110,650,320 and 177,785,280

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Solution

The third proportional to 110,650,320 and 177,785,280 is: 285,653,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,650,320 : 177,785,280 = 177,785,280 : x
  2. Step 2: Convert to fraction form
    110,650,320/177,785,280 = 177,785,280/x
  3. Step 3: Cross multiply
    110,650,320x = 177,785,280 × 177,785,280
  4. Step 4: Simplify right side
    110,650,320x = 31,607,605,784,678,400
  5. Step 5: Solve for x
    x = 31,607,605,784,678,400/110,650,320
  6. Step 6: Final answer
    x = 285,653,089.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.