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Finding the Third Proportional to 191,037,896 and 409,320,437

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Solution

The third proportional to 191,037,896 and 409,320,437 is: 877,015,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,896 : 409,320,437 = 409,320,437 : x
  2. Step 2: Convert to fraction form
    191,037,896/409,320,437 = 409,320,437/x
  3. Step 3: Cross multiply
    191,037,896x = 409,320,437 × 409,320,437
  4. Step 4: Simplify right side
    191,037,896x = 167,543,220,145,870,976
  5. Step 5: Solve for x
    x = 167,543,220,145,870,976/191,037,896
  6. Step 6: Final answer
    x = 877,015,627.02

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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.