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Finding the Third Proportional to 85,015,008 and 181,849,536

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Solution

The third proportional to 85,015,008 and 181,849,536 is: 388,981,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,015,008 : 181,849,536 = 181,849,536 : x
  2. Step 2: Convert to fraction form
    85,015,008/181,849,536 = 181,849,536/x
  3. Step 3: Cross multiply
    85,015,008x = 181,849,536 × 181,849,536
  4. Step 4: Simplify right side
    85,015,008x = 33,069,253,743,415,296
  5. Step 5: Solve for x
    x = 33,069,253,743,415,296/85,015,008
  6. Step 6: Final answer
    x = 388,981,363.66

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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.