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Finding the Third Proportional to 140,577,637.50 and 305,335,017

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Solution

The third proportional to 140,577,637.50 and 305,335,017 is: 663,188,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,577,637.50 : 305,335,017 = 305,335,017 : x
  2. Step 2: Convert to fraction form
    140,577,637.50/305,335,017 = 305,335,017/x
  3. Step 3: Cross multiply
    140,577,637.50x = 305,335,017 × 305,335,017
  4. Step 4: Simplify right side
    140,577,637.50x = 93,229,472,606,390,288
  5. Step 5: Solve for x
    x = 93,229,472,606,390,288/140,577,637.50
  6. Step 6: Final answer
    x = 663,188,500.42

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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.