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Finding the Third Proportional to 185,001,657.75 and 411,366,762

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Solution

The third proportional to 185,001,657.75 and 411,366,762 is: 914,708,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,001,657.75 : 411,366,762 = 411,366,762 : x
  2. Step 2: Convert to fraction form
    185,001,657.75/411,366,762 = 411,366,762/x
  3. Step 3: Cross multiply
    185,001,657.75x = 411,366,762 × 411,366,762
  4. Step 4: Simplify right side
    185,001,657.75x = 169,222,612,878,364,640
  5. Step 5: Solve for x
    x = 169,222,612,878,364,640/185,001,657.75
  6. Step 6: Final answer
    x = 914,708,629.84

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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.