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Finding the Third Proportional to 191,037,882.38 and 409,320,408.38

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Solution

The third proportional to 191,037,882.38 and 409,320,408.38 is: 877,015,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,882.38 : 409,320,408.38 = 409,320,408.38 : x
  2. Step 2: Convert to fraction form
    191,037,882.38/409,320,408.38 = 409,320,408.38/x
  3. Step 3: Cross multiply
    191,037,882.38x = 409,320,408.38 × 409,320,408.38
  4. Step 4: Simplify right side
    191,037,882.38x = 167,543,196,712,276,768
  5. Step 5: Solve for x
    x = 167,543,196,712,276,768/191,037,882.38
  6. Step 6: Final answer
    x = 877,015,566.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.