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Finding the Third Proportional to 210,569,314.50 and 454,432,579.50

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Solution

The third proportional to 210,569,314.50 and 454,432,579.50 is: 980,717,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,569,314.50 : 454,432,579.50 = 454,432,579.50 : x
  2. Step 2: Convert to fraction form
    210,569,314.50/454,432,579.50 = 454,432,579.50/x
  3. Step 3: Cross multiply
    210,569,314.50x = 454,432,579.50 × 454,432,579.50
  4. Step 4: Simplify right side
    210,569,314.50x = 206,508,969,311,023,808
  5. Step 5: Solve for x
    x = 206,508,969,311,023,808/210,569,314.50
  6. Step 6: Final answer
    x = 980,717,298.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.