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Finding the Third Proportional to 191,558,144 and 292,119,984

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Solution

The third proportional to 191,558,144 and 292,119,984 is: 445,473,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,558,144 : 292,119,984 = 292,119,984 : x
  2. Step 2: Convert to fraction form
    191,558,144/292,119,984 = 292,119,984/x
  3. Step 3: Cross multiply
    191,558,144x = 292,119,984 × 292,119,984
  4. Step 4: Simplify right side
    191,558,144x = 85,334,085,052,160,256
  5. Step 5: Solve for x
    x = 85,334,085,052,160,256/191,558,144
  6. Step 6: Final answer
    x = 445,473,542.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.