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Finding the Third Proportional to 185,852,904 and 383,638,080

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Solution

The third proportional to 185,852,904 and 383,638,080 is: 791,906,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,852,904 : 383,638,080 = 383,638,080 : x
  2. Step 2: Convert to fraction form
    185,852,904/383,638,080 = 383,638,080/x
  3. Step 3: Cross multiply
    185,852,904x = 383,638,080 × 383,638,080
  4. Step 4: Simplify right side
    185,852,904x = 147,178,176,426,086,400
  5. Step 5: Solve for x
    x = 147,178,176,426,086,400/185,852,904
  6. Step 6: Final answer
    x = 791,906,788.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.