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Finding the Third Proportional to 156,943,980 and 337,877,218.69

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Solution

The third proportional to 156,943,980 and 337,877,218.69 is: 727,399,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943,980 : 337,877,218.69 = 337,877,218.69 : x
  2. Step 2: Convert to fraction form
    156,943,980/337,877,218.69 = 337,877,218.69/x
  3. Step 3: Cross multiply
    156,943,980x = 337,877,218.69 × 337,877,218.69
  4. Step 4: Simplify right side
    156,943,980x = 114,161,014,908,000,704
  5. Step 5: Solve for x
    x = 114,161,014,908,000,704/156,943,980
  6. Step 6: Final answer
    x = 727,399,769.70

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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.