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Finding the Third Proportional to 114,575,855 and 234,446,434

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Solution

The third proportional to 114,575,855 and 234,446,434 is: 479,726,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,575,855 : 234,446,434 = 234,446,434 : x
  2. Step 2: Convert to fraction form
    114,575,855/234,446,434 = 234,446,434/x
  3. Step 3: Cross multiply
    114,575,855x = 234,446,434 × 234,446,434
  4. Step 4: Simplify right side
    114,575,855x = 54,965,130,415,316,352
  5. Step 5: Solve for x
    x = 54,965,130,415,316,352/114,575,855
  6. Step 6: Final answer
    x = 479,726,993.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.