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Finding the Third Proportional to 114,575,853 and 234,446,430

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Solution

The third proportional to 114,575,853 and 234,446,430 is: 479,726,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,575,853 : 234,446,430 = 234,446,430 : x
  2. Step 2: Convert to fraction form
    114,575,853/234,446,430 = 234,446,430/x
  3. Step 3: Cross multiply
    114,575,853x = 234,446,430 × 234,446,430
  4. Step 4: Simplify right side
    114,575,853x = 54,965,128,539,744,896
  5. Step 5: Solve for x
    x = 54,965,128,539,744,896/114,575,853
  6. Step 6: Final answer
    x = 479,726,985.23

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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.