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Finding the Third Proportional to 146,254,406,186 and 205,958,432,486

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Solution

The third proportional to 146,254,406,186 and 205,958,432,486 is: 290,034,857,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,254,406,186 : 205,958,432,486 = 205,958,432,486 : x
  2. Step 2: Convert to fraction form
    146,254,406,186/205,958,432,486 = 205,958,432,486/x
  3. Step 3: Cross multiply
    146,254,406,186x = 205,958,432,486 × 205,958,432,486
  4. Step 4: Simplify right side
    146,254,406,186x = 42,418,875,912,090,218,921,984
  5. Step 5: Solve for x
    x = 42,418,875,912,090,218,921,984/146,254,406,186
  6. Step 6: Final answer
    x = 290,034,857,877.33

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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.