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Finding the Third Proportional to 84,887,816 and 181,877,008

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Solution

The third proportional to 84,887,816 and 181,877,008 is: 389,681,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,887,816 : 181,877,008 = 181,877,008 : x
  2. Step 2: Convert to fraction form
    84,887,816/181,877,008 = 181,877,008/x
  3. Step 3: Cross multiply
    84,887,816x = 181,877,008 × 181,877,008
  4. Step 4: Simplify right side
    84,887,816x = 33,079,246,039,032,064
  5. Step 5: Solve for x
    x = 33,079,246,039,032,064/84,887,816
  6. Step 6: Final answer
    x = 389,681,907.22

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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.