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Finding the Third Proportional to 191,005,371 and 409,242,132

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Solution

The third proportional to 191,005,371 and 409,242,132 is: 876,829,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,005,371 : 409,242,132 = 409,242,132 : x
  2. Step 2: Convert to fraction form
    191,005,371/409,242,132 = 409,242,132/x
  3. Step 3: Cross multiply
    191,005,371x = 409,242,132 × 409,242,132
  4. Step 4: Simplify right side
    191,005,371x = 167,479,122,603,905,408
  5. Step 5: Solve for x
    x = 167,479,122,603,905,408/191,005,371
  6. Step 6: Final answer
    x = 876,829,388.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.