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Finding the Third Proportional to 49,883,046,179 and 103,301,977,197

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Solution

The third proportional to 49,883,046,179 and 103,301,977,197 is: 213,926,359,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883,046,179 : 103,301,977,197 = 103,301,977,197 : x
  2. Step 2: Convert to fraction form
    49,883,046,179/103,301,977,197 = 103,301,977,197/x
  3. Step 3: Cross multiply
    49,883,046,179x = 103,301,977,197 × 103,301,977,197
  4. Step 4: Simplify right side
    49,883,046,179x = 10,671,298,492,809,508,552,704
  5. Step 5: Solve for x
    x = 10,671,298,492,809,508,552,704/49,883,046,179
  6. Step 6: Final answer
    x = 213,926,359,960.39

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.