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Finding the Third Proportional to 117,832,425,155 and 258,477,814,654

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Solution

The third proportional to 117,832,425,155 and 258,477,814,654 is: 566,998,265,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832,425,155 : 258,477,814,654 = 258,477,814,654 : x
  2. Step 2: Convert to fraction form
    117,832,425,155/258,477,814,654 = 258,477,814,654/x
  3. Step 3: Cross multiply
    117,832,425,155x = 258,477,814,654 × 258,477,814,654
  4. Step 4: Simplify right side
    117,832,425,155x = 66,810,780,668,307,573,833,728
  5. Step 5: Solve for x
    x = 66,810,780,668,307,573,833,728/117,832,425,155
  6. Step 6: Final answer
    x = 566,998,265,379.19

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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.