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Finding the Third Proportional to 191,946,355 and 413,459,298

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Solution

The third proportional to 191,946,355 and 413,459,298 is: 890,606,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946,355 : 413,459,298 = 413,459,298 : x
  2. Step 2: Convert to fraction form
    191,946,355/413,459,298 = 413,459,298/x
  3. Step 3: Cross multiply
    191,946,355x = 413,459,298 × 413,459,298
  4. Step 4: Simplify right side
    191,946,355x = 170,948,591,102,652,800
  5. Step 5: Solve for x
    x = 170,948,591,102,652,800/191,946,355
  6. Step 6: Final answer
    x = 890,606,081.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.