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Finding the Third Proportional to 194,389,889 and 425,084,113

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Solution

The third proportional to 194,389,889 and 425,084,113 is: 929,557,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,389,889 : 425,084,113 = 425,084,113 : x
  2. Step 2: Convert to fraction form
    194,389,889/425,084,113 = 425,084,113/x
  3. Step 3: Cross multiply
    194,389,889x = 425,084,113 × 425,084,113
  4. Step 4: Simplify right side
    194,389,889x = 180,696,503,124,996,768
  5. Step 5: Solve for x
    x = 180,696,503,124,996,768/194,389,889
  6. Step 6: Final answer
    x = 929,557,108.42

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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.