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Finding the Third Proportional to 191,693,964 and 419,877,540

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Solution

The third proportional to 191,693,964 and 419,877,540 is: 919,680,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,693,964 : 419,877,540 = 419,877,540 : x
  2. Step 2: Convert to fraction form
    191,693,964/419,877,540 = 419,877,540/x
  3. Step 3: Cross multiply
    191,693,964x = 419,877,540 × 419,877,540
  4. Step 4: Simplify right side
    191,693,964x = 176,297,148,596,451,584
  5. Step 5: Solve for x
    x = 176,297,148,596,451,584/191,693,964
  6. Step 6: Final answer
    x = 919,680,228.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.