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Finding the Third Proportional to 191,952,913.50 and 413,558,346

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Solution

The third proportional to 191,952,913.50 and 413,558,346 is: 891,002,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,952,913.50 : 413,558,346 = 413,558,346 : x
  2. Step 2: Convert to fraction form
    191,952,913.50/413,558,346 = 413,558,346/x
  3. Step 3: Cross multiply
    191,952,913.50x = 413,558,346 × 413,558,346
  4. Step 4: Simplify right side
    191,952,913.50x = 171,030,505,546,255,712
  5. Step 5: Solve for x
    x = 171,030,505,546,255,712/191,952,913.50
  6. Step 6: Final answer
    x = 891,002,394.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.