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Finding the Third Proportional to 109,690,804,698 and 154,468,824,444

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Solution

The third proportional to 109,690,804,698 and 154,468,824,444 is: 217,526,143,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690,804,698 : 154,468,824,444 = 154,468,824,444 : x
  2. Step 2: Convert to fraction form
    109,690,804,698/154,468,824,444 = 154,468,824,444/x
  3. Step 3: Cross multiply
    109,690,804,698x = 154,468,824,444 × 154,468,824,444
  4. Step 4: Simplify right side
    109,690,804,698x = 23,860,617,725,111,292,657,664
  5. Step 5: Solve for x
    x = 23,860,617,725,111,292,657,664/109,690,804,698
  6. Step 6: Final answer
    x = 217,526,143,515.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.