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Finding the Third Proportional to 85,051,090.13 and 181,760,257.13

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Solution

The third proportional to 85,051,090.13 and 181,760,257.13 is: 388,434,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,051,090.13 : 181,760,257.13 = 181,760,257.13 : x
  2. Step 2: Convert to fraction form
    85,051,090.13/181,760,257.13 = 181,760,257.13/x
  3. Step 3: Cross multiply
    85,051,090.13x = 181,760,257.13 × 181,760,257.13
  4. Step 4: Simplify right side
    85,051,090.13x = 33,036,791,070,146,112
  5. Step 5: Solve for x
    x = 33,036,791,070,146,112/85,051,090.13
  6. Step 6: Final answer
    x = 388,434,657.59

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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.