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Finding the Third Proportional to 48,564,403,308 and 108,295,337,016

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Solution

The third proportional to 48,564,403,308 and 108,295,337,016 is: 241,491,282,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,564,403,308 : 108,295,337,016 = 108,295,337,016 : x
  2. Step 2: Convert to fraction form
    48,564,403,308/108,295,337,016 = 108,295,337,016/x
  3. Step 3: Cross multiply
    48,564,403,308x = 108,295,337,016 × 108,295,337,016
  4. Step 4: Simplify right side
    48,564,403,308x = 11,727,880,019,409,018,814,464
  5. Step 5: Solve for x
    x = 11,727,880,019,409,018,814,464/48,564,403,308
  6. Step 6: Final answer
    x = 241,491,282,102.85

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.