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Finding the Third Proportional to 73,381,875.75 and 157,268,140.31

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Solution

The third proportional to 73,381,875.75 and 157,268,140.31 is: 337,048,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,381,875.75 : 157,268,140.31 = 157,268,140.31 : x
  2. Step 2: Convert to fraction form
    73,381,875.75/157,268,140.31 = 157,268,140.31/x
  3. Step 3: Cross multiply
    73,381,875.75x = 157,268,140.31 × 157,268,140.31
  4. Step 4: Simplify right side
    73,381,875.75x = 24,733,267,957,352,188
  5. Step 5: Solve for x
    x = 24,733,267,957,352,188/73,381,875.75
  6. Step 6: Final answer
    x = 337,048,729.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.