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Finding the Third Proportional to 145,452,684 and 323,191,968

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Solution

The third proportional to 145,452,684 and 323,191,968 is: 718,123,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,452,684 : 323,191,968 = 323,191,968 : x
  2. Step 2: Convert to fraction form
    145,452,684/323,191,968 = 323,191,968/x
  3. Step 3: Cross multiply
    145,452,684x = 323,191,968 × 323,191,968
  4. Step 4: Simplify right side
    145,452,684x = 104,453,048,179,713,024
  5. Step 5: Solve for x
    x = 104,453,048,179,713,024/145,452,684
  6. Step 6: Final answer
    x = 718,123,896.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.