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Finding the Third Proportional to 166,206,424,365 and 337,037,736,631.50

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Solution

The third proportional to 166,206,424,365 and 337,037,736,631.50 is: 683,453,941,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,206,424,365 : 337,037,736,631.50 = 337,037,736,631.50 : x
  2. Step 2: Convert to fraction form
    166,206,424,365/337,037,736,631.50 = 337,037,736,631.50/x
  3. Step 3: Cross multiply
    166,206,424,365x = 337,037,736,631.50 × 337,037,736,631.50
  4. Step 4: Simplify right side
    166,206,424,365x = 113,594,435,913,684,348,829,696
  5. Step 5: Solve for x
    x = 113,594,435,913,684,348,829,696/166,206,424,365
  6. Step 6: Final answer
    x = 683,453,941,974.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.