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Finding the Third Proportional to 154,089,257 and 329,996,206

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Solution

The third proportional to 154,089,257 and 329,996,206 is: 706,716,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,089,257 : 329,996,206 = 329,996,206 : x
  2. Step 2: Convert to fraction form
    154,089,257/329,996,206 = 329,996,206/x
  3. Step 3: Cross multiply
    154,089,257x = 329,996,206 × 329,996,206
  4. Step 4: Simplify right side
    154,089,257x = 108,897,495,974,394,432
  5. Step 5: Solve for x
    x = 108,897,495,974,394,432/154,089,257
  6. Step 6: Final answer
    x = 706,716,990.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.