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Finding the Third Proportional to 108,539,364,207 and 164,205,011,254

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Solution

The third proportional to 108,539,364,207 and 164,205,011,254 is: 248,419,418,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,539,364,207 : 164,205,011,254 = 164,205,011,254 : x
  2. Step 2: Convert to fraction form
    108,539,364,207/164,205,011,254 = 164,205,011,254/x
  3. Step 3: Cross multiply
    108,539,364,207x = 164,205,011,254 × 164,205,011,254
  4. Step 4: Simplify right side
    108,539,364,207x = 26,963,285,720,926,267,637,760
  5. Step 5: Solve for x
    x = 26,963,285,720,926,267,637,760/108,539,364,207
  6. Step 6: Final answer
    x = 248,419,418,318.16

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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.