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Finding the Third Proportional to 191,037,886 and 409,320,416

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Solution

The third proportional to 191,037,886 and 409,320,416 is: 877,015,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,886 : 409,320,416 = 409,320,416 : x
  2. Step 2: Convert to fraction form
    191,037,886/409,320,416 = 409,320,416/x
  3. Step 3: Cross multiply
    191,037,886x = 409,320,416 × 409,320,416
  4. Step 4: Simplify right side
    191,037,886x = 167,543,202,954,413,056
  5. Step 5: Solve for x
    x = 167,543,202,954,413,056/191,037,886
  6. Step 6: Final answer
    x = 877,015,582.94

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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.