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Finding the Third Proportional to 109,768,817 and 239,652,523

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Solution

The third proportional to 109,768,817 and 239,652,523 is: 523,220,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,768,817 : 239,652,523 = 239,652,523 : x
  2. Step 2: Convert to fraction form
    109,768,817/239,652,523 = 239,652,523/x
  3. Step 3: Cross multiply
    109,768,817x = 239,652,523 × 239,652,523
  4. Step 4: Simplify right side
    109,768,817x = 57,433,331,780,265,528
  5. Step 5: Solve for x
    x = 57,433,331,780,265,528/109,768,817
  6. Step 6: Final answer
    x = 523,220,832.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.