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Finding the Third Proportional to 73,140,305 and 157,287,970

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Solution

The third proportional to 73,140,305 and 157,287,970 is: 338,247,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140,305 : 157,287,970 = 157,287,970 : x
  2. Step 2: Convert to fraction form
    73,140,305/157,287,970 = 157,287,970/x
  3. Step 3: Cross multiply
    73,140,305x = 157,287,970 × 157,287,970
  4. Step 4: Simplify right side
    73,140,305x = 24,739,505,506,720,900
  5. Step 5: Solve for x
    x = 24,739,505,506,720,900/73,140,305
  6. Step 6: Final answer
    x = 338,247,229.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.