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Finding the Third Proportional to 86,228,727,238 and 188,712,872,799

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Solution

The third proportional to 86,228,727,238 and 188,712,872,799 is: 413,000,974,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,228,727,238 : 188,712,872,799 = 188,712,872,799 : x
  2. Step 2: Convert to fraction form
    86,228,727,238/188,712,872,799 = 188,712,872,799/x
  3. Step 3: Cross multiply
    86,228,727,238x = 188,712,872,799 × 188,712,872,799
  4. Step 4: Simplify right side
    86,228,727,238x = 35,612,548,360,051,552,681,984
  5. Step 5: Solve for x
    x = 35,612,548,360,051,552,681,984/86,228,727,238
  6. Step 6: Final answer
    x = 413,000,974,278.07

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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.