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Finding the Third Proportional to 117,832,425,153 and 258,477,814,650

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Solution

The third proportional to 117,832,425,153 and 258,477,814,650 is: 566,998,265,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832,425,153 : 258,477,814,650 = 258,477,814,650 : x
  2. Step 2: Convert to fraction form
    117,832,425,153/258,477,814,650 = 258,477,814,650/x
  3. Step 3: Cross multiply
    117,832,425,153x = 258,477,814,650 × 258,477,814,650
  4. Step 4: Simplify right side
    117,832,425,153x = 66,810,780,666,239,756,795,904
  5. Step 5: Solve for x
    x = 66,810,780,666,239,756,795,904/117,832,425,153
  6. Step 6: Final answer
    x = 566,998,265,371.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.