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Finding the Third Proportional to 191,403,896 and 419,864,004

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Solution

The third proportional to 191,403,896 and 419,864,004 is: 921,014,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403,896 : 419,864,004 = 419,864,004 : x
  2. Step 2: Convert to fraction form
    191,403,896/419,864,004 = 419,864,004/x
  3. Step 3: Cross multiply
    191,403,896x = 419,864,004 × 419,864,004
  4. Step 4: Simplify right side
    191,403,896x = 176,285,781,854,912,000
  5. Step 5: Solve for x
    x = 176,285,781,854,912,000/191,403,896
  6. Step 6: Final answer
    x = 921,014,595.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.