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Finding the Third Proportional to 50,521,114 and 106,323,572

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Solution

The third proportional to 50,521,114 and 106,323,572 is: 223,761,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,521,114 : 106,323,572 = 106,323,572 : x
  2. Step 2: Convert to fraction form
    50,521,114/106,323,572 = 106,323,572/x
  3. Step 3: Cross multiply
    50,521,114x = 106,323,572 × 106,323,572
  4. Step 4: Simplify right side
    50,521,114x = 11,304,701,962,839,184
  5. Step 5: Solve for x
    x = 11,304,701,962,839,184/50,521,114
  6. Step 6: Final answer
    x = 223,761,929.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.