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Finding the Third Proportional to 142,200,006 and 212,368,185

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Solution

The third proportional to 142,200,006 and 212,368,185 is: 317,160,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,200,006 : 212,368,185 = 212,368,185 : x
  2. Step 2: Convert to fraction form
    142,200,006/212,368,185 = 212,368,185/x
  3. Step 3: Cross multiply
    142,200,006x = 212,368,185 × 212,368,185
  4. Step 4: Simplify right side
    142,200,006x = 45,100,246,000,194,224
  5. Step 5: Solve for x
    x = 45,100,246,000,194,224/142,200,006
  6. Step 6: Final answer
    x = 317,160,647.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.