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Finding the Third Proportional to 104,752,998 and 212,492,898

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Solution

The third proportional to 104,752,998 and 212,492,898 is: 431,044,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,752,998 : 212,492,898 = 212,492,898 : x
  2. Step 2: Convert to fraction form
    104,752,998/212,492,898 = 212,492,898/x
  3. Step 3: Cross multiply
    104,752,998x = 212,492,898 × 212,492,898
  4. Step 4: Simplify right side
    104,752,998x = 45,153,231,700,438,400
  5. Step 5: Solve for x
    x = 45,153,231,700,438,400/104,752,998
  6. Step 6: Final answer
    x = 431,044,767.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.