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Finding the Third Proportional to 71,857,345.22 and 107,666,474.48

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Solution

The third proportional to 71,857,345.22 and 107,666,474.48 is: 161,320,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857,345.22 : 107,666,474.48 = 107,666,474.48 : x
  2. Step 2: Convert to fraction form
    71,857,345.22/107,666,474.48 = 107,666,474.48/x
  3. Step 3: Cross multiply
    71,857,345.22x = 107,666,474.48 × 107,666,474.48
  4. Step 4: Simplify right side
    71,857,345.22x = 11,592,069,727,895,652
  5. Step 5: Solve for x
    x = 11,592,069,727,895,652/71,857,345.22
  6. Step 6: Final answer
    x = 161,320,595.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.