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Finding the Third Proportional to 135,881,371,647.80 and 295,619,456,356.90

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Solution

The third proportional to 135,881,371,647.80 and 295,619,456,356.90 is: 643,140,865,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,881,371,647.80 : 295,619,456,356.90 = 295,619,456,356.90 : x
  2. Step 2: Convert to fraction form
    135,881,371,647.80/295,619,456,356.90 = 295,619,456,356.90/x
  3. Step 3: Cross multiply
    135,881,371,647.80x = 295,619,456,356.90 × 295,619,456,356.90
  4. Step 4: Simplify right side
    135,881,371,647.80x = 87,390,862,976,749,112,655,872
  5. Step 5: Solve for x
    x = 87,390,862,976,749,112,655,872/135,881,371,647.80
  6. Step 6: Final answer
    x = 643,140,865,572.53

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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.