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Finding the Third Proportional to 151,646,080 and 327,456,008

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Solution

The third proportional to 151,646,080 and 327,456,008 is: 707,090,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,080 : 327,456,008 = 327,456,008 : x
  2. Step 2: Convert to fraction form
    151,646,080/327,456,008 = 327,456,008/x
  3. Step 3: Cross multiply
    151,646,080x = 327,456,008 × 327,456,008
  4. Step 4: Simplify right side
    151,646,080x = 107,227,437,175,296,064
  5. Step 5: Solve for x
    x = 107,227,437,175,296,064/151,646,080
  6. Step 6: Final answer
    x = 707,090,069.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.