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Finding the Third Proportional to 84,905,776 and 181,920,297

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Solution

The third proportional to 84,905,776 and 181,920,297 is: 389,784,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,776 : 181,920,297 = 181,920,297 : x
  2. Step 2: Convert to fraction form
    84,905,776/181,920,297 = 181,920,297/x
  3. Step 3: Cross multiply
    84,905,776x = 181,920,297 × 181,920,297
  4. Step 4: Simplify right side
    84,905,776x = 33,094,994,460,568,208
  5. Step 5: Solve for x
    x = 33,094,994,460,568,208/84,905,776
  6. Step 6: Final answer
    x = 389,784,959.51

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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.