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Finding the Third Proportional to 134,087,024 and 205,029,231

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Solution

The third proportional to 134,087,024 and 205,029,231 is: 313,505,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,087,024 : 205,029,231 = 205,029,231 : x
  2. Step 2: Convert to fraction form
    134,087,024/205,029,231 = 205,029,231/x
  3. Step 3: Cross multiply
    134,087,024x = 205,029,231 × 205,029,231
  4. Step 4: Simplify right side
    134,087,024x = 42,036,985,564,451,360
  5. Step 5: Solve for x
    x = 42,036,985,564,451,360/134,087,024
  6. Step 6: Final answer
    x = 313,505,246.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.