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Finding the Third Proportional to 191,928,234 and 414,438,900

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Solution

The third proportional to 191,928,234 and 414,438,900 is: 894,915,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,928,234 : 414,438,900 = 414,438,900 : x
  2. Step 2: Convert to fraction form
    191,928,234/414,438,900 = 414,438,900/x
  3. Step 3: Cross multiply
    191,928,234x = 414,438,900 × 414,438,900
  4. Step 4: Simplify right side
    191,928,234x = 171,759,601,833,209,984
  5. Step 5: Solve for x
    x = 171,759,601,833,209,984/191,928,234
  6. Step 6: Final answer
    x = 894,915,762.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.