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Finding the Third Proportional to 191,051,829 and 409,364,622

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Solution

The third proportional to 191,051,829 and 409,364,622 is: 877,141,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,051,829 : 409,364,622 = 409,364,622 : x
  2. Step 2: Convert to fraction form
    191,051,829/409,364,622 = 409,364,622/x
  3. Step 3: Cross multiply
    191,051,829x = 409,364,622 × 409,364,622
  4. Step 4: Simplify right side
    191,051,829x = 167,579,393,745,202,880
  5. Step 5: Solve for x
    x = 167,579,393,745,202,880/191,051,829
  6. Step 6: Final answer
    x = 877,141,007.35

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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.