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Finding the Third Proportional to 83,047,533 and 181,735,054.50

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Solution

The third proportional to 83,047,533 and 181,735,054.50 is: 397,695,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,533 : 181,735,054.50 = 181,735,054.50 : x
  2. Step 2: Convert to fraction form
    83,047,533/181,735,054.50 = 181,735,054.50/x
  3. Step 3: Cross multiply
    83,047,533x = 181,735,054.50 × 181,735,054.50
  4. Step 4: Simplify right side
    83,047,533x = 33,027,630,034,117,972
  5. Step 5: Solve for x
    x = 33,027,630,034,117,972/83,047,533
  6. Step 6: Final answer
    x = 397,695,498.48

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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.