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Finding the Third Proportional to 197,666,392,018 and 278,357,837,623

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Solution

The third proportional to 197,666,392,018 and 278,357,837,623 is: 391,989,174,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666,392,018 : 278,357,837,623 = 278,357,837,623 : x
  2. Step 2: Convert to fraction form
    197,666,392,018/278,357,837,623 = 278,357,837,623/x
  3. Step 3: Cross multiply
    197,666,392,018x = 278,357,837,623 × 278,357,837,623
  4. Step 4: Simplify right side
    197,666,392,018x = 77,483,085,766,152,427,667,456
  5. Step 5: Solve for x
    x = 77,483,085,766,152,427,667,456/197,666,392,018
  6. Step 6: Final answer
    x = 391,989,174,159.14

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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.