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Finding the Third Proportional to 191,055,774 and 414,549,132

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Solution

The third proportional to 191,055,774 and 414,549,132 is: 899,480,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,055,774 : 414,549,132 = 414,549,132 : x
  2. Step 2: Convert to fraction form
    191,055,774/414,549,132 = 414,549,132/x
  3. Step 3: Cross multiply
    191,055,774x = 414,549,132 × 414,549,132
  4. Step 4: Simplify right side
    191,055,774x = 171,850,982,841,953,408
  5. Step 5: Solve for x
    x = 171,850,982,841,953,408/191,055,774
  6. Step 6: Final answer
    x = 899,480,707.88

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