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Finding the Third Proportional to 191,037,900 and 409,320,444

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Solution

The third proportional to 191,037,900 and 409,320,444 is: 877,015,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,900 : 409,320,444 = 409,320,444 : x
  2. Step 2: Convert to fraction form
    191,037,900/409,320,444 = 409,320,444/x
  3. Step 3: Cross multiply
    191,037,900x = 409,320,444 × 409,320,444
  4. Step 4: Simplify right side
    191,037,900x = 167,543,225,876,357,120
  5. Step 5: Solve for x
    x = 167,543,225,876,357,120/191,037,900
  6. Step 6: Final answer
    x = 877,015,638.66

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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.