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Finding the Third Proportional to 191,055,784 and 414,549,152

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Solution

The third proportional to 191,055,784 and 414,549,152 is: 899,480,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,055,784 : 414,549,152 = 414,549,152 : x
  2. Step 2: Convert to fraction form
    191,055,784/414,549,152 = 414,549,152/x
  3. Step 3: Cross multiply
    191,055,784x = 414,549,152 × 414,549,152
  4. Step 4: Simplify right side
    191,055,784x = 171,850,999,423,919,104
  5. Step 5: Solve for x
    x = 171,850,999,423,919,104/191,055,784
  6. Step 6: Final answer
    x = 899,480,747.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.