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Finding the Third Proportional to 148,590,767,506 and 227,207,713,191

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Solution

The third proportional to 148,590,767,506 and 227,207,713,191 is: 347,419,599,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,590,767,506 : 227,207,713,191 = 227,207,713,191 : x
  2. Step 2: Convert to fraction form
    148,590,767,506/227,207,713,191 = 227,207,713,191/x
  3. Step 3: Cross multiply
    148,590,767,506x = 227,207,713,191 × 227,207,713,191
  4. Step 4: Simplify right side
    148,590,767,506x = 51,623,344,933,483,711,561,728
  5. Step 5: Solve for x
    x = 51,623,344,933,483,711,561,728/148,590,767,506
  6. Step 6: Final answer
    x = 347,419,599,480.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.