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Finding the Third Proportional to 143,943,266,775 and 316,674,683,439

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Solution

The third proportional to 143,943,266,775 and 316,674,683,439 is: 696,683,195,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,943,266,775 : 316,674,683,439 = 316,674,683,439 : x
  2. Step 2: Convert to fraction form
    143,943,266,775/316,674,683,439 = 316,674,683,439/x
  3. Step 3: Cross multiply
    143,943,266,775x = 316,674,683,439 × 316,674,683,439
  4. Step 4: Simplify right side
    143,943,266,775x = 100,282,855,131,190,856,253,440
  5. Step 5: Solve for x
    x = 100,282,855,131,190,856,253,440/143,943,266,775
  6. Step 6: Final answer
    x = 696,683,195,942.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.