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Finding the Third Proportional to 136,275,375,582 and 298,197,030,942

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Solution

The third proportional to 136,275,375,582 and 298,197,030,942 is: 652,513,110,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275,375,582 : 298,197,030,942 = 298,197,030,942 : x
  2. Step 2: Convert to fraction form
    136,275,375,582/298,197,030,942 = 298,197,030,942/x
  3. Step 3: Cross multiply
    136,275,375,582x = 298,197,030,942 × 298,197,030,942
  4. Step 4: Simplify right side
    136,275,375,582x = 88,921,469,262,624,106,479,616
  5. Step 5: Solve for x
    x = 88,921,469,262,624,106,479,616/136,275,375,582
  6. Step 6: Final answer
    x = 652,513,110,918.69

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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.