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Finding the Third Proportional to 117,832,424,875 and 258,477,814,165

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Solution

The third proportional to 117,832,424,875 and 258,477,814,165 is: 566,998,264,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832,424,875 : 258,477,814,165 = 258,477,814,165 : x
  2. Step 2: Convert to fraction form
    117,832,424,875/258,477,814,165 = 258,477,814,165/x
  3. Step 3: Cross multiply
    117,832,424,875x = 258,477,814,165 × 258,477,814,165
  4. Step 4: Simplify right side
    117,832,424,875x = 66,810,780,415,516,276,162,560
  5. Step 5: Solve for x
    x = 66,810,780,415,516,276,162,560/117,832,424,875
  6. Step 6: Final answer
    x = 566,998,264,581.17

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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.