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Finding the Third Proportional to 90,799,070,419.50 and 195,073,014,996

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Solution

The third proportional to 90,799,070,419.50 and 195,073,014,996 is: 419,095,492,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,799,070,419.50 : 195,073,014,996 = 195,073,014,996 : x
  2. Step 2: Convert to fraction form
    90,799,070,419.50/195,073,014,996 = 195,073,014,996/x
  3. Step 3: Cross multiply
    90,799,070,419.50x = 195,073,014,996 × 195,073,014,996
  4. Step 4: Simplify right side
    90,799,070,419.50x = 38,053,481,179,629,643,366,400
  5. Step 5: Solve for x
    x = 38,053,481,179,629,643,366,400/90,799,070,419.50
  6. Step 6: Final answer
    x = 419,095,492,980.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.