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Finding the Third Proportional to 116,589,374,946 and 179,126,688,914

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Solution

The third proportional to 116,589,374,946 and 179,126,688,914 is: 275,208,360,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,589,374,946 : 179,126,688,914 = 179,126,688,914 : x
  2. Step 2: Convert to fraction form
    116,589,374,946/179,126,688,914 = 179,126,688,914/x
  3. Step 3: Cross multiply
    116,589,374,946x = 179,126,688,914 × 179,126,688,914
  4. Step 4: Simplify right side
    116,589,374,946x = 32,086,370,681,292,928,843,776
  5. Step 5: Solve for x
    x = 32,086,370,681,292,928,843,776/116,589,374,946
  6. Step 6: Final answer
    x = 275,208,360,077.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.