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Finding the Third Proportional to 86,228,727,232.50 and 188,712,872,788.50

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Solution

The third proportional to 86,228,727,232.50 and 188,712,872,788.50 is: 413,000,974,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,228,727,232.50 : 188,712,872,788.50 = 188,712,872,788.50 : x
  2. Step 2: Convert to fraction form
    86,228,727,232.50/188,712,872,788.50 = 188,712,872,788.50/x
  3. Step 3: Cross multiply
    86,228,727,232.50x = 188,712,872,788.50 × 188,712,872,788.50
  4. Step 4: Simplify right side
    86,228,727,232.50x = 35,612,548,356,088,585,519,104
  5. Step 5: Solve for x
    x = 35,612,548,356,088,585,519,104/86,228,727,232.50
  6. Step 6: Final answer
    x = 413,000,974,258.45

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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.