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Finding the Third Proportional to 83,620,192,684.50 and 127,829,864,340

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Solution

The third proportional to 83,620,192,684.50 and 127,829,864,340 is: 195,413,017,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,620,192,684.50 : 127,829,864,340 = 127,829,864,340 : x
  2. Step 2: Convert to fraction form
    83,620,192,684.50/127,829,864,340 = 127,829,864,340/x
  3. Step 3: Cross multiply
    83,620,192,684.50x = 127,829,864,340 × 127,829,864,340
  4. Step 4: Simplify right side
    83,620,192,684.50x = 16,340,474,217,182,804,312,064
  5. Step 5: Solve for x
    x = 16,340,474,217,182,804,312,064/83,620,192,684.50
  6. Step 6: Final answer
    x = 195,413,017,987.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.