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Finding the Third Proportional to 72,114,313.50 and 170,064,067.50

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Solution

The third proportional to 72,114,313.50 and 170,064,067.50 is: 401,054,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,114,313.50 : 170,064,067.50 = 170,064,067.50 : x
  2. Step 2: Convert to fraction form
    72,114,313.50/170,064,067.50 = 170,064,067.50/x
  3. Step 3: Cross multiply
    72,114,313.50x = 170,064,067.50 × 170,064,067.50
  4. Step 4: Simplify right side
    72,114,313.50x = 28,921,787,054,644,556
  5. Step 5: Solve for x
    x = 28,921,787,054,644,556/72,114,313.50
  6. Step 6: Final answer
    x = 401,054,737.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.