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Finding the Third Proportional to 83,047,534 and 181,735,057

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Solution

The third proportional to 83,047,534 and 181,735,057 is: 397,695,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,534 : 181,735,057 = 181,735,057 : x
  2. Step 2: Convert to fraction form
    83,047,534/181,735,057 = 181,735,057/x
  3. Step 3: Cross multiply
    83,047,534x = 181,735,057 × 181,735,057
  4. Step 4: Simplify right side
    83,047,534x = 33,027,630,942,793,248
  5. Step 5: Solve for x
    x = 33,027,630,942,793,248/83,047,534
  6. Step 6: Final answer
    x = 397,695,504.63

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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.