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Finding the Third Proportional to 84,905,733 and 181,920,195

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Solution

The third proportional to 84,905,733 and 181,920,195 is: 389,784,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,733 : 181,920,195 = 181,920,195 : x
  2. Step 2: Convert to fraction form
    84,905,733/181,920,195 = 181,920,195/x
  3. Step 3: Cross multiply
    84,905,733x = 181,920,195 × 181,920,195
  4. Step 4: Simplify right side
    84,905,733x = 33,094,957,348,838,024
  5. Step 5: Solve for x
    x = 33,094,957,348,838,024/84,905,733
  6. Step 6: Final answer
    x = 389,784,719.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.