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Finding the Third Proportional to 83,054,916 and 181,748,583

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Solution

The third proportional to 83,054,916 and 181,748,583 is: 397,719,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054,916 : 181,748,583 = 181,748,583 : x
  2. Step 2: Convert to fraction form
    83,054,916/181,748,583 = 181,748,583/x
  3. Step 3: Cross multiply
    83,054,916x = 181,748,583 × 181,748,583
  4. Step 4: Simplify right side
    83,054,916x = 33,032,547,422,507,888
  5. Step 5: Solve for x
    x = 33,032,547,422,507,888/83,054,916
  6. Step 6: Final answer
    x = 397,719,352.61

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