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Finding the Third Proportional to 116,575,104 and 241,403,946

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Solution

The third proportional to 116,575,104 and 241,403,946 is: 499,899,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,575,104 : 241,403,946 = 241,403,946 : x
  2. Step 2: Convert to fraction form
    116,575,104/241,403,946 = 241,403,946/x
  3. Step 3: Cross multiply
    116,575,104x = 241,403,946 × 241,403,946
  4. Step 4: Simplify right side
    116,575,104x = 58,275,865,144,370,912
  5. Step 5: Solve for x
    x = 58,275,865,144,370,912/116,575,104
  6. Step 6: Final answer
    x = 499,899,748.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.