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Finding the Third Proportional to 138,050,163 and 306,745,495

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Solution

The third proportional to 138,050,163 and 306,745,495 is: 681,584,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050,163 : 306,745,495 = 306,745,495 : x
  2. Step 2: Convert to fraction form
    138,050,163/306,745,495 = 306,745,495/x
  3. Step 3: Cross multiply
    138,050,163x = 306,745,495 × 306,745,495
  4. Step 4: Simplify right side
    138,050,163x = 94,092,798,702,795,024
  5. Step 5: Solve for x
    x = 94,092,798,702,795,024/138,050,163
  6. Step 6: Final answer
    x = 681,584,118.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.