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Finding the Third Proportional to 108,539,364,210 and 164,205,011,258

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Solution

The third proportional to 108,539,364,210 and 164,205,011,258 is: 248,419,418,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,539,364,210 : 164,205,011,258 = 164,205,011,258 : x
  2. Step 2: Convert to fraction form
    108,539,364,210/164,205,011,258 = 164,205,011,258/x
  3. Step 3: Cross multiply
    108,539,364,210x = 164,205,011,258 × 164,205,011,258
  4. Step 4: Simplify right side
    108,539,364,210x = 26,963,285,722,239,906,873,344
  5. Step 5: Solve for x
    x = 26,963,285,722,239,906,873,344/108,539,364,210
  6. Step 6: Final answer
    x = 248,419,418,323.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.