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Finding the Third Proportional to 135,854,523 and 298,398,222

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Solution

The third proportional to 135,854,523 and 298,398,222 is: 655,417,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854,523 : 298,398,222 = 298,398,222 : x
  2. Step 2: Convert to fraction form
    135,854,523/298,398,222 = 298,398,222/x
  3. Step 3: Cross multiply
    135,854,523x = 298,398,222 × 298,398,222
  4. Step 4: Simplify right side
    135,854,523x = 89,041,498,892,761,280
  5. Step 5: Solve for x
    x = 89,041,498,892,761,280/135,854,523
  6. Step 6: Final answer
    x = 655,417,993.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.