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Finding the Third Proportional to 216,343,156 and 510,192,742

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Solution

The third proportional to 216,343,156 and 510,192,742 is: 1,203,165,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343,156 : 510,192,742 = 510,192,742 : x
  2. Step 2: Convert to fraction form
    216,343,156/510,192,742 = 510,192,742/x
  3. Step 3: Cross multiply
    216,343,156x = 510,192,742 × 510,192,742
  4. Step 4: Simplify right side
    216,343,156x = 260,296,633,989,478,560
  5. Step 5: Solve for x
    x = 260,296,633,989,478,560/216,343,156
  6. Step 6: Final answer
    x = 1,203,165,557.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.