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Finding the Third Proportional to 135,881,371,645.75 and 295,619,456,353

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Solution

The third proportional to 135,881,371,645.75 and 295,619,456,353 is: 643,140,865,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,881,371,645.75 : 295,619,456,353 = 295,619,456,353 : x
  2. Step 2: Convert to fraction form
    135,881,371,645.75/295,619,456,353 = 295,619,456,353/x
  3. Step 3: Cross multiply
    135,881,371,645.75x = 295,619,456,353 × 295,619,456,353
  4. Step 4: Simplify right side
    135,881,371,645.75x = 87,390,862,974,443,268,866,048
  5. Step 5: Solve for x
    x = 87,390,862,974,443,268,866,048/135,881,371,645.75
  6. Step 6: Final answer
    x = 643,140,865,565.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.