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Finding the Third Proportional to 191,037,904 and 409,320,452

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Solution

The third proportional to 191,037,904 and 409,320,452 is: 877,015,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,904 : 409,320,452 = 409,320,452 : x
  2. Step 2: Convert to fraction form
    191,037,904/409,320,452 = 409,320,452/x
  3. Step 3: Cross multiply
    191,037,904x = 409,320,452 × 409,320,452
  4. Step 4: Simplify right side
    191,037,904x = 167,543,232,425,484,288
  5. Step 5: Solve for x
    x = 167,543,232,425,484,288/191,037,904
  6. Step 6: Final answer
    x = 877,015,654.58

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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.