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Finding the Third Proportional to 65,191,435 and 138,155,184

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Solution

The third proportional to 65,191,435 and 138,155,184 is: 292,781,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191,435 : 138,155,184 = 138,155,184 : x
  2. Step 2: Convert to fraction form
    65,191,435/138,155,184 = 138,155,184/x
  3. Step 3: Cross multiply
    65,191,435x = 138,155,184 × 138,155,184
  4. Step 4: Simplify right side
    65,191,435x = 19,086,854,866,073,856
  5. Step 5: Solve for x
    x = 19,086,854,866,073,856/65,191,435
  6. Step 6: Final answer
    x = 292,781,634.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.