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Finding the Third Proportional to 191,037,906 and 409,320,459

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Solution

The third proportional to 191,037,906 and 409,320,459 is: 877,015,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,906 : 409,320,459 = 409,320,459 : x
  2. Step 2: Convert to fraction form
    191,037,906/409,320,459 = 409,320,459/x
  3. Step 3: Cross multiply
    191,037,906x = 409,320,459 × 409,320,459
  4. Step 4: Simplify right side
    191,037,906x = 167,543,238,155,970,688
  5. Step 5: Solve for x
    x = 167,543,238,155,970,688/191,037,906
  6. Step 6: Final answer
    x = 877,015,675.39

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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.