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Finding the Third Proportional to 79,943,878,078.50 and 177,762,066,298.50

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Solution

The third proportional to 79,943,878,078.50 and 177,762,066,298.50 is: 395,269,193,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,943,878,078.50 : 177,762,066,298.50 = 177,762,066,298.50 : x
  2. Step 2: Convert to fraction form
    79,943,878,078.50/177,762,066,298.50 = 177,762,066,298.50/x
  3. Step 3: Cross multiply
    79,943,878,078.50x = 177,762,066,298.50 × 177,762,066,298.50
  4. Step 4: Simplify right side
    79,943,878,078.50x = 31,599,352,214,712,309,776,384
  5. Step 5: Solve for x
    x = 31,599,352,214,712,309,776,384/79,943,878,078.50
  6. Step 6: Final answer
    x = 395,269,193,517.03

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.