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Finding the Third Proportional to 140,699,334 and 305,619,261

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Solution

The third proportional to 140,699,334 and 305,619,261 is: 663,849,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,699,334 : 305,619,261 = 305,619,261 : x
  2. Step 2: Convert to fraction form
    140,699,334/305,619,261 = 305,619,261/x
  3. Step 3: Cross multiply
    140,699,334x = 305,619,261 × 305,619,261
  4. Step 4: Simplify right side
    140,699,334x = 93,403,132,694,186,128
  5. Step 5: Solve for x
    x = 93,403,132,694,186,128/140,699,334
  6. Step 6: Final answer
    x = 663,849,145.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.