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Finding the Third Proportional to 102,011,489 and 221,342,556.75

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Solution

The third proportional to 102,011,489 and 221,342,556.75 is: 480,264,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011,489 : 221,342,556.75 = 221,342,556.75 : x
  2. Step 2: Convert to fraction form
    102,011,489/221,342,556.75 = 221,342,556.75/x
  3. Step 3: Cross multiply
    102,011,489x = 221,342,556.75 × 221,342,556.75
  4. Step 4: Simplify right side
    102,011,489x = 48,992,527,428,626,968
  5. Step 5: Solve for x
    x = 48,992,527,428,626,968/102,011,489
  6. Step 6: Final answer
    x = 480,264,800.65

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