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Finding the Third Proportional to 234,786,487.50 and 510,029,013

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Solution

The third proportional to 234,786,487.50 and 510,029,013 is: 1,107,941,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,786,487.50 : 510,029,013 = 510,029,013 : x
  2. Step 2: Convert to fraction form
    234,786,487.50/510,029,013 = 510,029,013/x
  3. Step 3: Cross multiply
    234,786,487.50x = 510,029,013 × 510,029,013
  4. Step 4: Simplify right side
    234,786,487.50x = 260,129,594,101,754,176
  5. Step 5: Solve for x
    x = 260,129,594,101,754,176/234,786,487.50
  6. Step 6: Final answer
    x = 1,107,941,078.18

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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.