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Finding the Third Proportional to 83,054,913 and 181,748,577

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Solution

The third proportional to 83,054,913 and 181,748,577 is: 397,719,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054,913 : 181,748,577 = 181,748,577 : x
  2. Step 2: Convert to fraction form
    83,054,913/181,748,577 = 181,748,577/x
  3. Step 3: Cross multiply
    83,054,913x = 181,748,577 × 181,748,577
  4. Step 4: Simplify right side
    83,054,913x = 33,032,545,241,524,928
  5. Step 5: Solve for x
    x = 33,032,545,241,524,928/83,054,913
  6. Step 6: Final answer
    x = 397,719,340.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.