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Finding the Third Proportional to 191,004,564 and 409,240,558.50

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Solution

The third proportional to 191,004,564 and 409,240,558.50 is: 876,826,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,004,564 : 409,240,558.50 = 409,240,558.50 : x
  2. Step 2: Convert to fraction form
    191,004,564/409,240,558.50 = 409,240,558.50/x
  3. Step 3: Cross multiply
    191,004,564x = 409,240,558.50 × 409,240,558.50
  4. Step 4: Simplify right side
    191,004,564x = 167,477,834,721,391,936
  5. Step 5: Solve for x
    x = 167,477,834,721,391,936/191,004,564
  6. Step 6: Final answer
    x = 876,826,350.19

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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.