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Finding the Third Proportional to 100,948,089 and 219,124,765.50

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Solution

The third proportional to 100,948,089 and 219,124,765.50 is: 475,647,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948,089 : 219,124,765.50 = 219,124,765.50 : x
  2. Step 2: Convert to fraction form
    100,948,089/219,124,765.50 = 219,124,765.50/x
  3. Step 3: Cross multiply
    100,948,089x = 219,124,765.50 × 219,124,765.50
  4. Step 4: Simplify right side
    100,948,089x = 48,015,662,855,429,992
  5. Step 5: Solve for x
    x = 48,015,662,855,429,992/100,948,089
  6. Step 6: Final answer
    x = 475,647,071.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.