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Finding the Third Proportional to 91,455,182,730 and 196,143,017,940

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Solution

The third proportional to 91,455,182,730 and 196,143,017,940 is: 420,665,973,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,455,182,730 : 196,143,017,940 = 196,143,017,940 : x
  2. Step 2: Convert to fraction form
    91,455,182,730/196,143,017,940 = 196,143,017,940/x
  3. Step 3: Cross multiply
    91,455,182,730x = 196,143,017,940 × 196,143,017,940
  4. Step 4: Simplify right side
    91,455,182,730x = 38,472,083,486,611,163,054,080
  5. Step 5: Solve for x
    x = 38,472,083,486,611,163,054,080/91,455,182,730
  6. Step 6: Final answer
    x = 420,665,973,629.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.