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Finding the Third Proportional to 65,205,057,186 and 97,417,766,151

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Solution

The third proportional to 65,205,057,186 and 97,417,766,151 is: 145,544,250,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205,057,186 : 97,417,766,151 = 97,417,766,151 : x
  2. Step 2: Convert to fraction form
    65,205,057,186/97,417,766,151 = 97,417,766,151/x
  3. Step 3: Cross multiply
    65,205,057,186x = 97,417,766,151 × 97,417,766,151
  4. Step 4: Simplify right side
    65,205,057,186x = 9,490,221,161,850,922,336,256
  5. Step 5: Solve for x
    x = 9,490,221,161,850,922,336,256/65,205,057,186
  6. Step 6: Final answer
    x = 145,544,250,268.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.