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Finding the Third Proportional to 121,078,714 and 187,997,848

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Solution

The third proportional to 121,078,714 and 187,997,848 is: 291,902,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,078,714 : 187,997,848 = 187,997,848 : x
  2. Step 2: Convert to fraction form
    121,078,714/187,997,848 = 187,997,848/x
  3. Step 3: Cross multiply
    121,078,714x = 187,997,848 × 187,997,848
  4. Step 4: Simplify right side
    121,078,714x = 35,343,190,852,631,104
  5. Step 5: Solve for x
    x = 35,343,190,852,631,104/121,078,714
  6. Step 6: Final answer
    x = 291,902,595.30

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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.