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Finding the Third Proportional to 103,329,615,817.69 and 143,671,571,457.75

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Solution

The third proportional to 103,329,615,817.69 and 143,671,571,457.75 is: 199,763,836,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,329,615,817.69 : 143,671,571,457.75 = 143,671,571,457.75 : x
  2. Step 2: Convert to fraction form
    103,329,615,817.69/143,671,571,457.75 = 143,671,571,457.75/x
  3. Step 3: Cross multiply
    103,329,615,817.69x = 143,671,571,457.75 × 143,671,571,457.75
  4. Step 4: Simplify right side
    103,329,615,817.69x = 20,641,520,445,139,363,823,616
  5. Step 5: Solve for x
    x = 20,641,520,445,139,363,823,616/103,329,615,817.69
  6. Step 6: Final answer
    x = 199,763,836,164.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.