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Finding the Third Proportional to 191,037,992.06 and 409,320,658.13

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Solution

The third proportional to 191,037,992.06 and 409,320,658.13 is: 877,016,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,992.06 : 409,320,658.13 = 409,320,658.13 : x
  2. Step 2: Convert to fraction form
    191,037,992.06/409,320,658.13 = 409,320,658.13/x
  3. Step 3: Cross multiply
    191,037,992.06x = 409,320,658.13 × 409,320,658.13
  4. Step 4: Simplify right side
    191,037,992.06x = 167,543,401,167,883,136
  5. Step 5: Solve for x
    x = 167,543,401,167,883,136/191,037,992.06
  6. Step 6: Final answer
    x = 877,016,133.59

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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.