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Finding the Third Proportional to 100,415,714 and 155,167,884

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Solution

The third proportional to 100,415,714 and 155,167,884 is: 239,773,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415,714 : 155,167,884 = 155,167,884 : x
  2. Step 2: Convert to fraction form
    100,415,714/155,167,884 = 155,167,884/x
  3. Step 3: Cross multiply
    100,415,714x = 155,167,884 × 155,167,884
  4. Step 4: Simplify right side
    100,415,714x = 24,077,072,225,037,456
  5. Step 5: Solve for x
    x = 24,077,072,225,037,456/100,415,714
  6. Step 6: Final answer
    x = 239,773,948.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.