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Finding the Third Proportional to 88,032,786 and 193,071,716

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Solution

The third proportional to 88,032,786 and 193,071,716 is: 423,440,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032,786 : 193,071,716 = 193,071,716 : x
  2. Step 2: Convert to fraction form
    88,032,786/193,071,716 = 193,071,716/x
  3. Step 3: Cross multiply
    88,032,786x = 193,071,716 × 193,071,716
  4. Step 4: Simplify right side
    88,032,786x = 37,276,687,519,184,656
  5. Step 5: Solve for x
    x = 37,276,687,519,184,656/88,032,786
  6. Step 6: Final answer
    x = 423,440,961.18

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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.