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Finding the Third Proportional to 117,832,424,875.50 and 258,477,814,167

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Solution

The third proportional to 117,832,424,875.50 and 258,477,814,167 is: 566,998,264,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832,424,875.50 : 258,477,814,167 = 258,477,814,167 : x
  2. Step 2: Convert to fraction form
    117,832,424,875.50/258,477,814,167 = 258,477,814,167/x
  3. Step 3: Cross multiply
    117,832,424,875.50x = 258,477,814,167 × 258,477,814,167
  4. Step 4: Simplify right side
    117,832,424,875.50x = 66,810,780,416,550,188,875,776
  5. Step 5: Solve for x
    x = 66,810,780,416,550,188,875,776/117,832,424,875.50
  6. Step 6: Final answer
    x = 566,998,264,587.54

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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.